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  • 大数模板(加减乘除幂次开方)

    很好用的模板,但当时做题的时候从哪里找的不知道了,原作看到知会我一声我补上hhh

      1 struct BigInteger
      2 {
      3     int len;
      4     int arg[500];
      5     BigInteger(int x = 0) {
      6         IntToBigInteger(x);
      7     }
      8     
      9     BigInteger(char *str) {
     10         CharToBigInteger(str);
     11     }
     12     void print()
     13     {
     14         for (int i = len - 1; i >= 0; i--) {
     15             cout << arg[i];
     16         }
     17         cout << endl;
     18     }
     19     void CharToBigInteger(char *str)
     20     {
     21         len = strlen(str);
     22         memset(arg, 0, sizeof(arg));
     23         for (int i = 0; i < len; i++) {
     24             arg[i] = str[len - i - 1] - 48;
     25         }
     26         while (len > 0 && arg[len - 1] == 0) {
     27             len--;
     28         }
     29     }
     30     void IntToBigInteger(int x)
     31     {
     32         len = 0;
     33         memset(arg, 0, sizeof(arg));
     34         do {
     35             arg[len++] = x % 10;
     36             x = x / 10;
     37         } while (x);
     38     }
     39     friend istream &operator>>(istream &in, BigInteger &w)
     40     {
     41         char str[1005];
     42         in >> str;
     43         w.CharToBigInteger(str);
     44         return in;
     45     }
     46     friend ostream& operator<<(ostream &out, BigInteger w)
     47     {
     48         for (int i = w.len - 1; i >= 0; i--) {
     49             out << w.arg[i];
     50         }
     51         return out;
     52     }
     53     friend bool operator==(BigInteger r, BigInteger w)
     54     {
     55         if (r.len != w.len) return false;
     56         int i = r.len - 1;
     57         while (i >= 0) {
     58             if (r.arg[i] != w.arg[i])
     59                 return false;
     60             i--;
     61         }
     62         return true;
     63     }
     64     friend bool operator<=(BigInteger r, BigInteger w)
     65     {
     66         if (r.len < w.len) return true;
     67         else if (w.len < r.len) return false;
     68         int i = r.len - 1;
     69         while (i >= 0) {
     70             if (r.arg[i] < w.arg[i])
     71                 return true;
     72             else if (r.arg[i] > w.arg[i])
     73                 return false;
     74             i--;
     75         }
     76         return true;
     77     }
     78     friend bool operator<=(int x, BigInteger w)
     79     {
     80         BigInteger r;
     81         r.IntToBigInteger(x);
     82         if (r.len < w.len) return true;
     83         else if (w.len < r.len) return false;
     84         int i = r.len - 1;
     85         while (i >= 0) {
     86             if (r.arg[i] < w.arg[i])
     87                 return true;
     88             else if (r.arg[i] > w.arg[i])
     89                 return false;
     90             i--;
     91         }
     92         return true;
     93     }
     94     friend bool operator<(BigInteger r, BigInteger w)
     95     {
     96         if (r.len < w.len) return true;
     97         else if (w.len < r.len) return false;
     98         int i = r.len - 1;
     99         while (i >= 0) {
    100             if (r.arg[i] < w.arg[i])
    101                 return true;
    102             else if (r.arg[i] > w.arg[i])
    103                 return false;
    104             i--;
    105         }
    106         return false;
    107     }
    108     friend bool operator<(int x, BigInteger w)
    109     {
    110         BigInteger r;
    111         r.IntToBigInteger(x);
    112         if (r.len < w.len) return true;
    113         else if (w.len < r.len)    return false;
    114         int i = r.len - 1;
    115         while (i >= 0) {
    116             if (r.arg[i] < w.arg[i])
    117                 return true;
    118             else if (r.arg[i] > w.arg[i])
    119                 return false;
    120             i--;
    121         }
    122         return false;
    123     }
    124     friend BigInteger operator+(int r, BigInteger w) {
    125         w.arg[0] += r;
    126         int i = 0;
    127         while (w.arg[i] >= 10) {
    128             w.arg[i + 1] += w.arg[i] / 10;
    129             w.arg[i] = w.arg[i] % 10;
    130             i++;
    131         }
    132         if (w.arg[i]) i++;
    133         w.len = i > w.len ? i : w.len;
    134         return w;
    135     }
    136     friend BigInteger operator+(BigInteger w, int r)
    137     {
    138         w.arg[0] += r;
    139         int i = 0;
    140         while (w.arg[i] >= 10) {
    141             w.arg[i + 1] += w.arg[i] / 10;
    142             w.arg[i] = w.arg[i] % 10;
    143             i++;
    144         }
    145         if (w.arg[i]) i++;
    146         w.len = i > w.len ? i : w.len;
    147         return w;
    148     }
    149     friend BigInteger operator+(BigInteger r, BigInteger w)
    150     {
    151         int len = r.len > w.len ? r.len : w.len;
    152         for (int i = 0; i < len; i++) {
    153             if (i < w.len)
    154                 r.arg[i] = r.arg[i] + w.arg[i];
    155             r.arg[i + 1] += r.arg[i] / 10;
    156             r.arg[i] = r.arg[i] % 10;
    157         }
    158         while (r.arg[len] >= 10) {
    159             r.arg[len + 1] += r.arg[len] / 10;
    160             r.arg[len] = r.arg[len] % 10;
    161             len++;
    162         }
    163         if (r.arg[len]) len++;
    164         r.len = len > r.len ? len : r.len;
    165         return r;
    166     }
    167     friend BigInteger operator-(BigInteger r, BigInteger w)
    168     {
    169         for (int i = 0; i < r.len; i++) {
    170             if (r.arg[i] >= w.arg[i])
    171                 r.arg[i] = r.arg[i] - w.arg[i];
    172             else {
    173                 r.arg[i] = r.arg[i] + 10;
    174                 r.arg[i + 1] = r.arg[i + 1] - 1;
    175                 r.arg[i] = r.arg[i] - w.arg[i];
    176             }
    177         }
    178         while (r.arg[r.len - 1] == 0 && r.len > 1)
    179             r.len--;
    180         return r;
    181     }
    182     friend BigInteger operator-(BigInteger r, int w)
    183     {
    184         for (int i = 0; i < r.len; i++, w = w / 10) {
    185             if (r.arg[i] >= w % 10)
    186                 r.arg[i] = r.arg[i] - w % 10;
    187             else {
    188                 r.arg[i] = r.arg[i] + 10;
    189                 r.arg[i + 1] = r.arg[i + 1] - 1;
    190                 r.arg[i] = r.arg[i] - w % 10;
    191             }
    192         }
    193         while (r.arg[r.len - 1] == 0 && r.len > 1)
    194             r.len--;
    195         return r;
    196     }
    197     friend BigInteger operator*(int x, BigInteger w)
    198     {
    199         BigInteger r;
    200         if (x == 0 || (w.len == 1 && w.arg[0] == 0)) {
    201             return r;
    202         }
    203         for (int i = 0; i < w.len; i++) {
    204             r.arg[i] += w.arg[i] * x;
    205             r.arg[i + 1] += r.arg[i] / 10;
    206             r.arg[i] = r.arg[i] % 10;
    207         }
    208         int i = r.arg[w.len] == 0 ? w.len - 1 : w.len;
    209         while (r.arg[i] >= 10) {
    210             r.arg[i + 1] = r.arg[i] / 10;
    211             r.arg[i] = r.arg[i] % 10;
    212             i++;
    213         }
    214         r.len = (i >= 0) ? i + 1 : 1;
    215         return r;
    216     }
    217     friend BigInteger operator*(BigInteger w, int x)
    218     {
    219         BigInteger r;
    220         if (x == 0 || (w.len == 1 && w.arg[0] == 0)) {
    221             return r;
    222         }
    223         for (int i = 0; i < w.len; i++) {
    224             r.arg[i] += w.arg[i] * x;
    225             r.arg[i + 1] += r.arg[i] / 10;
    226             r.arg[i] = r.arg[i] % 10;
    227         }
    228         int i = r.arg[w.len] == 0 ? w.len - 1 : w.len;
    229         while (r.arg[i] >= 10) {
    230             r.arg[i + 1] = r.arg[i] / 10;
    231             r.arg[i] = r.arg[i] % 10;
    232             i++;
    233         }
    234         r.len = (i >= 0) ? i + 1 : 1;
    235         return r;
    236     }
    237     friend BigInteger operator*(BigInteger r, BigInteger w)
    238     {
    239         BigInteger v;
    240         if ((r.len == 1 && r.arg[0] == 0) || (w.len == 1 && w.arg[0] == 0)) {
    241             return v;
    242         }
    243         for (int i = 0; i < r.len; i++) {
    244             for (int k = 0; k < w.len; k++) {
    245                 v.arg[i + k] += w.arg[k] * r.arg[i];
    246                 v.arg[i + k + 1] += v.arg[i + k] / 10;
    247                 v.arg[i + k] = v.arg[i + k] % 10;
    248             }
    249         }
    250         int i = w.len + r.len - 1;
    251         i = v.arg[i] == 0 ? i - 1 : i;
    252         while (v.arg[i] >= 10) {
    253             v.arg[i + 1] = v.arg[i] / 10;
    254             v.arg[i] = v.arg[i] % 10;
    255             i++;
    256         }
    257         v.len = (i >= 0) ? i + 1 : 1;
    258         return v;
    259     }
    260 
    261     friend BigInteger operator/(BigInteger r, int w)
    262     {
    263         BigInteger  h, resl;
    264         if (w == 0) return h;
    265         for (int i = r.len - 1; i >= 0; i--) {
    266             resl = 10 * resl;
    267             h = r.arg[i] + (10 * h);
    268             while (w <= h) {
    269                 resl = 1 + resl;
    270                 h = h - w;
    271             }
    272         }
    273         return resl;
    274     }
    275     friend BigInteger operator/(BigInteger r, BigInteger w)
    276     {
    277         BigInteger h, resl;
    278         if (w.len == 1 && w.arg[0] == 0) return h;
    279         for (int i = r.len - 1; i >= 0; i--) {
    280             resl = 10 * resl;
    281             h = r.arg[i] + (10 * h);
    282             while (w <= h) {
    283                 resl = 1 + resl;
    284                 h = h - w;
    285             }
    286         }
    287         return resl;
    288     }
    289 
    290     friend BigInteger operator%(BigInteger r, BigInteger w)
    291     {
    292         BigInteger h;
    293         if (w.len == 1 && w.arg[0] == 0) return h;
    294         for (int i = r.len - 1; i >= 0; i--) {
    295             h = r.arg[i] + (10 * h);
    296             while (w <= h) {
    297                 h = h - w;
    298             }
    299         }
    300         return h;
    301     }
    302     void sqrt()
    303     {
    304         BigInteger w, r;
    305         w.len = r.len = 0;
    306         int lens = len - 1;
    307         if (len == 1 && arg[0] == 1)
    308             return;
    309         r.arg[r.len++] = arg[lens--];
    310         if (len % 2 == 0)
    311             r = arg[lens--] + 10 * r;
    312         while (lens >= -1) {
    313             int i = 0;
    314             while ((i*(i + 20 * w)) <= r) {
    315                 i++;
    316             }
    317             i--;
    318             if (i == -1 || (r.len == 1 && r.arg[0] == 1))
    319                 i = 0;
    320             r = r - (i*(i + 20 * w));
    321             w = i + 10 * w;
    322             if (lens >= 0) {
    323                 r = arg[lens--] + 10 * r;
    324                 r = arg[lens--] + 10 * r;
    325             }
    326             else
    327                 lens -= 2;
    328         }
    329         *this = w;
    330     }
    331 };
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  • 原文地址:https://www.cnblogs.com/romaLzhih/p/9655751.html
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