C++米勒拉宾算法模板 

//我也忘了从哪找来的板子，不过对于2^63级的数据请考虑使用java内置的米勒拉宾算法。
  1 #include <iostream>
  2 #include <string>
  3 #include <cstdio>
  4 #include <cmath>
  5 #include <cstring>
  6 #include <algorithm>
  7 #define range(i,a,b) for(int i=a;i<=b;++i)
  8 #define rerange(i,a,b) for(int i=a;i>=b;--i)
  9 #define LL long long
 10 #define fill(arr,tmp) memset(arr,tmp,sizeof(arr))
 11 using namespace std;
 12 const int S=20;
 13 LL mult_mod(LL a,LL b,LL c){
 14     a%=c;
 15     b%=c;
 16     long long ret=0;
 17     while(b){
 18         if(b&1){ret+=a;ret%=c;}
 19         a<<=1;
 20         if(a>=c)a%=c;
 21         b>>=1;
 22     }
 23     return ret;
 24 }
 25 LL pow_mod(LL x,LL n,LL mod){
 26     if(n==1)return x%mod;
 27     x%=mod;
 28     LL tmp=x;
 29     LL ret=1;
 30     while(n){
 31         if(n&1) ret=mult_mod(ret,tmp,mod);
 32         tmp=mult_mod(tmp,tmp,mod);
 33         n>>=1;
 34     }
 35     return ret;
 36 }
 37 bool check(LL a,LL n,LL x,LL t){
 38     LL ret=pow_mod(a,x,n);
 39     LL last=ret;
 40     range(i,1,t){
 41         ret=mult_mod(ret,ret,n);
 42         if(ret==1&&last!=1&&last!=n-1) return true;
 43         last=ret;
 44     }
 45     if(ret!=1) return true;
 46     return false;
 47 }
 48 bool Miller_Rabin(LL n){
 49     if(n<2)return false;
 50     if(n==2)return true;
 51     if((n&1)==0) return false;
 52     LL x=n-1;
 53     LL t=0;
 54     while((x&1)==0){x>>=1;t++;}
 55     range(i,0,S-1){
 56         LL a=rand()%(n-1)+1;
 57         if(check(a,n,x,t))return false;
 58     }
 59     return true;
 60 }
 61 LL factor[100];
 62 int tol;
 63 LL gcd(LL a,LL b){
 64     if(a==0)return 1;
 65     if(a<0) return gcd(-a,b);
 66     while(b){
 67         long long t=a%b;
 68         a=b;
 69         b=t;
 70     }
 71     return a;
 72 }
 73 LL Pollard_rho(LL x,LL c){
 74     LL i=1,k=2;
 75     LL x0=rand()%x;
 76     LL y=x0;
 77     while(1){
 78         i++;
 79         x0=(mult_mod(x0,x0,x)+c)%x;
 80         LL d=gcd(y-x0,x);
 81         if(d!=1&&d!=x) return d;
 82         if(y==x0) return x;
 83         if(i==k){y=x0;k+=k;}
 84     }
 85 }
 86 void findfac(LL n){
 87     if(Miller_Rabin(n)){
 88         factor[tol++]=n;
 89         return;
 90     }
 91     LL p=n;
 92     while(p>=n)p=Pollard_rho(p,rand()%(n-1)+1);
 93     findfac(p);
 94     findfac(n/p);
 95 }
 96 int main(){
 97     long long n;
 98     while(scanf("%lld",&n)!=EOF){
 99         tol=0;
100         /*
101         findfac(n);
102         for(int i=0;i<tol;++i)cout<<factor[i]<<" ";
103         printf("\n");
104         */
105         if(Miller_Rabin(n))printf("Yes\n");
106         else printf("No\n");
107     }
108     return 0;
109 }

 

posted @ 2018-07-02 14:54  RhythmLian  阅读(519)  评论(0)    收藏  举报