• Kattis


    这里写图片描述

    题意
    给出两个数字 P 和 A 当p 不是素数 并且 满足a^p≡a(mod p) 就输出 yes 否则 输出 no

    思路
    因为 数据范围较大,用快速幂

    AC代码

    #include <cstdio>
    #include <cstring>
    #include <ctype.h>
    #include <cstdlib>
    #include <iostream>
    #include <algorithm>
    #include <cmath>
    #include <deque>
    #include <vector>
    #include <queue>
    #include <string>
    #include <map>
    #include <stack>
    #include <set>
    #include <numeric>
    #include <sstream>
    
    using namespace std;
    typedef long long LL;
    
    const double PI  = 3.14159265358979323846264338327;
    const double E   = 2.718281828459;
    const double eps = 1e-6;
    
    const int MAXN = 0x3f3f3f3f;
    const int MINN = 0xc0c0c0c0;
    const int maxn = 1e5 + 5;
    const int MOD  = 1e9 + 7;
    
    LL powerMod(LL x, LL n, LL m)
    {
        LL res = 1;
        while (n > 0)
        {
            if (n & 1)
                res = (res * x) % m;
            x = (x * x ) % m;
            n >>= 1;
        }
        return res;
    }
    
    bool isPrime(int x)
    {
        int flag;
        int n, m;
        if (x <= 1)
            return false;
        if (x == 2 || x == 3)
            return true;
        if (x % 2 == 0)
            return false;
        else
        {
            m = sqrt(x) + 1;
            for (n = 3; n <= m; n += 2)
            {
                if (x % n == 0)
                {
                    return false;
                }
            }
            return true;
        }
    }
    
    int main()
    {
        LL p, a;
        while (cin >> p >> a && (p || a))
        {
            if (powerMod(a, p, p) == a && a % p == a && isPrime(p) == false)
                cout << "yes
    ";
            else
                cout << "no
    "; 
        }
    } 
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  • 原文地址:https://www.cnblogs.com/Dup4/p/9433275.html
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