Kattis - pseudoprime 【快速幂】
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\n";
else
cout << "no\n";
}
}