HDU 2138 Miller-Rabin 模板题

时间:2023-03-09 05:37:19
HDU 2138 Miller-Rabin 模板题

求素数个数。

/** @Date    : 2017-09-18 23:05:15
* @FileName: HDU 2138 miller-rabin 模板.cpp
* @Platform: Windows
* @Author : Lweleth (SoungEarlf@gmail.com)
* @Link : https://github.com/
* @Version : $Id$
*/
#include <bits/stdc++.h>
#define LL long long
#define PII pair<int ,int>
#define MP(x, y) make_pair((x),(y))
#define fi first
#define se second
#define PB(x) push_back((x))
#define MMG(x) memset((x), -1,sizeof(x))
#define MMF(x) memset((x),0,sizeof(x))
#define MMI(x) memset((x), INF, sizeof(x))
using namespace std; const int INF = 0x3f3f3f3f;
const int N = 1e5+20;
const double eps = 1e-8; LL fpow(LL a, LL n, LL mod)//快速幂
{
LL res = 1;
while(n)
{
if(n & 1) res = (res * a) % mod;
a = (a * a % mod + mod) % mod;
n >>= 1;
}
return res;
}
bool Miller_Rabbin(int n,int a)//米勒拉宾素数测试
{
int r = 0, s = n - 1;
if(!(n % a))
return false;
while(!(s & 1))
{
s>>=1;
r++;
}
LL k = fpow(a, s, n);
if(k == 1)
return true;
for(int j = 0; j < r; j++, k = k * k % n)
if(k == n-1)
return true;
return false;
}
bool IsPrime(int n)//判断是否是素数
{
int tab[14] = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41};
for(int i = 0; i < 13; i++)
{
if(n == tab[i])
return true;
if(!Miller_Rabbin(n, tab[i]))
return false;
}
return true;
} int main()
{
int n;
while(cin >> n)
{
LL x;
LL cnt = 0;
for(int i = 0; i < n; i++)
scanf("%ld", &x), cnt += (IsPrime(x)?1:0);
printf("%lld\n", cnt);
}
return 0;
}