uva 11582

斐波那契数论 求第 a^b 项 %c

听说有循环结 

#include<stdio.h>
#include<algorithm>
#include<cstring>
#include<string>
#include<cmath>

using namespace std;

#define MAXN 60010
#define inf  1000000000.0

unsigned long long z[10010];
unsigned long long quick(unsigned long long a,unsigned long long b,unsigned long long c)
{
    unsigned long long ans=1;
    a =  a % c;
    while(b>0)
    {
        if(b&1)
            ans = (ans * a) % c;
        b>>=1;
        a = (a * a) % c;
    }
    return ans;
}
int main()
{
    int t;
    scanf("%d",&t);
    while(t--)
    {
        unsigned long long a,b,n;
        scanf("%llu%llu%llu",&a,&b,&n);
        if(a==0 || n== 1)
        {
            printf("0\n");
            continue;
        }
        z[0]=0;
        z[1]=1;
        unsigned long long c;
        for(int i=2;;i++)
        {
             z[i]=(z[i-1]+z[i-2])%n;
            // printf("%llu ",z[i]);
             if(z[i]==1&&z[i-1]==0)
             {
                 c=i-1;
                 break;
             }
        }
       // printf("\n");
      //  printf("%llu\n",c);
        unsigned long long ans;
        ans = quick(a,b,c);
        printf("%llu\n",z[ans]);
    }
    return 0;
}