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  • bzoj1853: [Scoi2010]幸运数字

    容斥搞一搞。。

    不能直接1<<n枚举所有状态,得回溯。。从大的开始决定选不选,然后最好把能被其他数整除的数除掉。

     1 #include<iostream>
     2 #include<algorithm>
     3 #include<cstdio>
     4 #include<cstdlib>
     5 #include<cstring>
     6 #include<string>
     7 
     8 using namespace std;
     9 
    10 void setIO(const string& a) {
    11     freopen((a+".in").c_str(), "r", stdin);
    12     freopen((a+".out").c_str(), "w", stdout);
    13 }
    14 
    15 typedef long long ll;
    16 const int N = 10;
    17 
    18 const ll ten[11] = {1, (ll)1e1, (ll)1e2, (ll)1e3, (ll)1e4, (ll)1e5, (ll)1e6, (ll)1e7, (ll)1e8, (ll)1e9, (ll)1e10};
    19 
    20 ll seq[2 << N], a[1 << N], res;
    21 int tot;
    22 
    23 void dfs_pre(int now, ll res) {
    24     if(res) seq[tot++] = res;
    25     if(now == N) return;
    26     dfs_pre(now + 1, res * 10 + 6);
    27     dfs_pre(now + 1, res * 10 + 8);
    28 }
    29 
    30 ll ans = 0;
    31 
    32 ll gcd(ll a, ll b) {
    33     return !b ? a : gcd(b, a % b);
    34 }
    35 
    36 bool vis[1 << N];
    37 
    38 int n;
    39 ll L, R;
    40 
    41 void dfs(int now, int cnt, ll lcm) {
    42     if(now == -1) {
    43         if(cnt & 1) ans += R / lcm - L / lcm;
    44         else if(cnt > 0) ans -= R / lcm - L / lcm;
    45         return;
    46     }
    47     dfs(now - 1, cnt, lcm);
    48     ll g = gcd(lcm, a[now]);
    49     if((double)lcm / g * a[now] <= R + 1) {
    50         dfs(now - 1, cnt + 1, lcm / g * a[now] );
    51     }
    52 }
    53 
    54 int main() {
    55     
    56     dfs_pre(0, 0);
    57     sort(seq, seq + tot);
    58     for(int i = 0; i < tot; i++) {
    59         int ok = 1;
    60         for(int j = 0; j < i; j++) if(seq[i] % seq[j] == 0) ok = 0;
    61         if(ok) a[n++] = seq[i];
    62     }
    63     
    64 //    reverse(a, a + n);
    65     cin >> L >> R; --L;
    66     for(int i = n - 1; i >= 0; i--) {
    67         if(a[i] <= R) {
    68             dfs(i, 0, 1);
    69             break;
    70         }
    71     }
    72     cout << ans << endl;
    73     
    74     return 0;
    75 }
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  • 原文地址:https://www.cnblogs.com/showson/p/5006500.html
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