Cod sursa(job #1162789)

Utilizator Al3ks1002Alex Cociorva Al3ks1002 Data 31 martie 2014 23:20:51
Problema Invers modular Scor 10
Compilator cpp Status done
Runda Arhiva educationala Marime 0.5 kb
#include<cstdio>
using namespace std;
int a,b,n,i,phi,N,r;
int main()
{
	freopen("inversmodular.in","r",stdin);
	freopen("inversmodular.out","w",stdout);
	scanf("%d%d",&a,&n); phi=1; N=n;
	for(i=2;i*i<=n;i++)
        if(n%i==0)
        {
            while(n%i==0) n/=i,phi*=i;
            phi/=i; phi*=(i-1);
        }
    if(n>1) phi*=(n-1);
    b=phi-1; r=1;
    for(long long i=1;i<=1LL*b;i<<=1)
    {
        if(i&b) r=(1LL*r*a)%N;
        a=(a*a)%N;
    }
    printf("%d\n",r);
	return 0;
}