hiho一下第九十二周数论一·Miller-Rabin质数测试

落日映苍穹つ 2022-07-26 01:29 219阅读 0赞

模板题不是吗？  
别乘法爆了long long就行

// whn6325689
    // Mr.Phoebe
    // http://blog.csdn.net/u013007900
    #include <algorithm>
    #include <iostream>
    #include <iomanip>
    #include <cstring>
    #include <climits>
    #include <complex>
    #include <fstream>
    #include <cassert>
    #include <cstdio>
    #include <bitset>
    #include <vector>
    #include <deque>
    #include <queue>
    #include <stack>
    #include <ctime>
    #include <set>
    #include <map>
    #include <cmath>
    #include <functional>
    #include <numeric>
    #pragma comment(linker, "/STACK:1024000000,1024000000")
    
    
    using namespace std;
    #define eps 1e-9
    #define PI acos(-1.0)
    #define INF 0x3f3f3f3f
    #define LLINF 1LL<<50
    #define speed std::ios::sync_with_stdio(false);
    
    typedef long long ll;
    typedef unsigned long long ull;
    typedef long double ld;
    typedef pair<ll, ll> pll;
    typedef complex<ld> point;
    typedef pair<int, int> pii;
    typedef pair<pii, int> piii;
    typedef vector<int> vi;
    
    #define CLR(x,y) memset(x,y,sizeof(x))
    #define CPY(x,y) memcpy(x,y,sizeof(x))
    #define clr(a,x,size) memset(a,x,sizeof(a[0])*(size))
    #define cpy(a,x,size) memcpy(a,x,sizeof(a[0])*(size))
    #define debug(a) cout << #a" = " << (a) << endl;
    #define debugarry(a, n) for (int i = 0; i < (n); i++) { cout << #a"[" << i << "] = " << (a)[i] << endl; }
    
    #define mp(x,y) make_pair(x,y)
    #define pb(x) push_back(x)
    #define lowbit(x) (x&(-x))
    
    #define MID(x,y) (x+((y-x)>>1))
    #define getidx(l,r) (l+r | l!=r)
    #define ls getidx(l,mid)
    #define rs getidx(mid+1,r)
    #define lson l,mid
    #define rson mid+1,r
    
    template<class T>
    inline bool read(T &n)
    {
        T x = 0, tmp = 1;
        char c = getchar();
        while((c < '0' || c > '9') && c != '-' && c != EOF) c = getchar();
        if(c == EOF) return false;
        if(c == '-') c = getchar(), tmp = -1;
        while(c >= '0' && c <= '9') x *= 10, x += (c - '0'),c = getchar();
        n = x*tmp;
        return true;
    }
    template <class T>
    inline void write(T n)
    {
        if(n < 0)
        {
            putchar('-');
            n = -n;
        }
        int len = 0,data[20];
        while(n)
        {
            data[len++] = n%10;
            n /= 10;
        }
        if(!len) data[len++] = 0;
        while(len--) putchar(data[len]+48);
    }
    //-----------------------------------
    
    ll prime[6] = {
       2, 3, 5, 233, 331};
    ll qmul(ll x, ll y, ll mod)   // 乘法防止溢出， 如果p * p不爆LL的话可以直接乘； O(1)乘法或者转化成二进制加法(快速加)
    {
        ll ret = 0;
        while(y) {
            if(y & 1)
                ret = (ret + x) % mod;
            x = x * 2 % mod;
            y >>= 1;
        }
        return ret;
    }
    ll qpow(ll a, ll n, ll mod)
    {
        ll ret = 1;
        while(n)
        {
            if(n & 1) ret = qmul(ret, a, mod);
            a = qmul(a, a, mod);
            n >>= 1;
        }
        return ret;
    }
    bool Miller_Rabin(ll p)
    {
        if(p < 2) return 0;
        if(p != 2 && p % 2 == 0) return 0;
        ll s = p - 1;
        while(! (s & 1)) s >>= 1;
        for(int i = 0; i < 5; ++i)
        {
            if(p == prime[i]) return 1;
            ll t = s, m = qpow(prime[i], s, p);
            while(t != p - 1 && m != 1 && m != p - 1)
            {
                m = qmul(m, m, p);
                t <<= 1;
            }
            if(m != p - 1 && !(t & 1)) return 0;
        }
        return 1;
    }
    
    int main()
    {
        int n;
        scanf("%d",&n);
        while(n--)
        {
            ll num;
            scanf("%lld",&num);
            if(Miller_Rabin(num))
                puts("Yes");
            else
                puts("No");
        }
        return 0;
    }