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  • 【洛谷,转载】来自洛谷一位大佬的博客:P1001 【A+B Problem 】

    这题是洛谷的经典啊……

    这里给出一些比较基础的A+B方法

    SPFA:

    #include<cstdio>
    using namespace std;
    int n,m,a,b,op,head[200009],next[200009],dis[200009],len[200009],v[200009],l,r,team[200009],pd[100009],u,v1,e;
    int lt(int x,int y,int z)
    {
        op++,v[op]=y;
        next[op]=head[x],head[x]=op,len[op]=z;
    }
    int SPFA(int s,int f)//SPFA……
    {
        for(int i=1;i<=200009;i++){dis[i]=999999999;}
        l=0,r=1,team[1]=s,pd[s]=1,dis[s]=0;
        while(l!=r)
        {
            l=(l+1)%90000,u=team[l],pd[u]=0,e=head[u];
            while(e!=0)
            {
                v1=v[e];
                if(dis[v1]>dis[u]+len[e])
                {
                    dis[v1]=dis[u]+len[e];
                    if(!pd[v1])
                    {
                        r=(r+1)%90000,
                        team[r]=v1,
                        pd[v1]=1;
                    }
                }
                e=next[e];
            } 
        }
        return dis[f];
    }
    int main()
    {
        scanf("%d%d",&a,&b);
        lt(1,2,a);lt(2,3,b);//1到2为a,2到3为b,1到3即为a+b……
        printf("%d",SPFA(1,3));
        return 0;
    }
    

    Floyd:

    #include<iostream>
    #include<cstring>
    using namespace std;
    long long n=3,a,b,dis[4][4];
    int main()
    {
        cin>>a>>b;
        for(int i=1;i<=n;i++)
        {
            for(int j=1;j<=n;j++)
            {
                dis[i][j]=2147483647;
            }
        }
        dis[1][2]=a,dis[2][3]=b;
        for(int k=1;k<=n;k++)
        {
            for(int i=1;i<=n;i++)
            {
                for(int j=1;j<=n;j++)
                {
                    dis[i][j]=min(dis[i][j],dis[i][k]+dis[k][j]);//Floyd……
                }
            }
        }
        cout<<dis[1][3];
    }
    

    递归:

    #include<iostream>
    using namespace std;
    long long a,b,c;
    long long dg(long long a)
    {
        if(a<=5){return a;}//防超时……
        return (dg(a/2)+dg(a-a/2));
    }
    int main()
    {
        cin>>a>>b;
        c=dg(a)+dg(b);
        cout<<c;
    }
    

    高精:

    #include<iostream>
    #include<cstring>
    using namespace std;
    int main()
    {
        char a1[1000],b1[1000];
          int a[1000]={0},b[1000]={0},c[1000]={0},la,lb,lc,i,x;
          cin>>a1>>b1;
          la=strlen(a1);
          lb=strlen(b1);
          for(i=0;i<=la-1;i++){a[la-i]=a1[i]-48;}
        for(i=0;i<=lb-1;i++){b[lb-i]=b1[i]-48;}
          lc=1,x=0;
        while(lc<=la||lc<=lb){c[lc]=a[lc]+b[lc]+x,x=c[lc]/10,c[lc]%=10,lc++;}
        c[lc]=x;
        if(c[lc]==0){lc--;}
        for(i=lc;i>=1;i--){cout<<c[i];}
        cout<<endl;
        return 0;
    }
    

    压位高精:

    #include <cstdio>  
    #include <cstring>  
    #include <cstdlib>  
    #include <iostream>  
    #define p 8
    #define carry 100000000
    using namespace std;  
    const int Maxn=50001;  
    char s1[Maxn],s2[Maxn];  
    int a[Maxn],b[Maxn],ans[Maxn];  
    int change(char s[],int n[])   
    {  
        char temp[Maxn];   
        int len=strlen(s+1),cur=0;  
        while(len/p)
        {  
            strncpy(temp,s+len-p+1,p);
            n[++cur]=atoi(temp); 
            len-=p;
        }  
        if(len)
        {
            memset(temp,0,sizeof(temp));  
            strncpy(temp,s+1,len);  
            n[++cur]=atoi(temp);   
        }  
        return cur;
    }  
    int add(int a[],int b[],int c[],int l1,int l2)  
    {  
        int x=0,l3=max(l1,l2);  
        for(int i=1;i<=l3;i++)
        {  
            c[i]=a[i]+b[i]+x;  
            x=c[i]/carry;
            c[i]%=carry;  
        }  
        while(x>0){c[++l3]=x%10;x/=10;}  
        return l3;
    }  
    void print(int a[],int len)  
    {   
        printf("%d",a[len]);
        for(int i=len-1;i>=1;i--)printf("%0*d",p,a[i]);
        printf("
    ");  
    }  
    int main()  
    {
        scanf("%s%s",s1+1,s2+1);
        int la=change(s1,a);
        int lb=change(s2,b);
        int len=add(a,b,ans,la,lb);    
        print(ans,len);
    }  
    

    还有我自己的(YMY)—— BIGNUM:

    #include<bits/stdc++.h>
    using namespace std;
    const int maxn = 20000; 
    struct bign{ 
      int len, s[maxn]; 
      bign() { 
        memset(s, 0, sizeof(s)); 
        len = 1; 
      } 
       
      bign(int num) { 
        *this = num; 
      } 
       
      bign(const char* num) { 
        *this = num; 
      } 
       
      bign operator = (int num) { 
        char s[maxn]; 
        sprintf(s, "%d", num); 
        *this = s; 
        return *this; 
      }  
       
      string str() const { 
        string res = ""; 
        for(int i = 0; i < len; i++) res = (char)(s[i] + '0') + res; 
        if(res == "") res = "0"; 
        return res; 
      } 
         
      void clean() { 
        while(len > 1 && !s[len-1]) len--; 
      } 
              
      bign operator = (const char* num) { 
        len = strlen(num); 
        for(int i = 0; i < len; i++) s[i] = num[len-i-1] - '0'; 
        return *this; 
      } 
         
      bign operator + (const bign& b) const{ 
        bign c; 
        c.len = 0; 
        for(int i = 0, g = 0; g || i < max(len, b.len); i++) { 
          int x = g; 
          if(i < len) x += s[i]; 
          if(i < b.len) x += b.s[i]; 
          c.s[c.len++] = x % 10; 
          g = x / 10; 
        } 
        return c; 
      } 
       
      bign operator * (const bign& b) { 
        bign c; c.len = len + b.len; 
        for(int i = 0; i < len; i++) 
          for(int j = 0; j < b.len; j++) 
            c.s[i+j] += s[i] * b.s[j]; 
        for(int i = 0; i < c.len-1; i++){ 
          c.s[i+1] += c.s[i] / 10; 
          c.s[i] %= 10; 
        } 
        c.clean(); 
        return c; 
      } 
       
      bign operator - (const bign& b) { 
        bign c; c.len = 0; 
        for(int i = 0, g = 0; i < len; i++) { 
          int x = s[i] - g; 
          if(i < b.len) x -= b.s[i]; 
          if(x >= 0) g = 0; 
          else { 
            g = 1; 
            x += 10; 
          } 
          c.s[c.len++] = x; 
        } 
        c.clean(); 
        return c; 
      } 
       
      bool operator < (const bign& b) const{ 
        if(len != b.len) return len < b.len; 
        for(int i = len-1; i >= 0; i--) 
          if(s[i] != b.s[i]) return s[i] < b.s[i]; 
        return false; 
      } 
       
      bool operator > (const bign& b) const{ 
        return b < *this; 
      } 
       
      bool operator <= (const bign& b) { 
        return !(b > *this); 
      } 
       
      bool operator == (const bign& b) { 
        return !(b < *this) && !(*this < b); 
      } 
       
      bign operator += (const bign& b) { 
        *this = *this + b; 
        return *this; 
      } 
    }; 
       
    istream& operator >> (istream &in, bign& x) { 
      string s; 
      in >> s; 
      x = s.c_str(); 
      return in; 
    } 
       
    ostream& operator << (ostream &out, const bign& x) { 
      out << x.str(); 
      return out; 
    } 
       
    int main() { 
      bign a,b; 
      cin>>a>>b; 
      cout<<a+b<<endl;
      return 0; 
    } 
    

      

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  • 原文地址:https://www.cnblogs.com/YMY666/p/8484987.html
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