Cod sursa(job #1502960)

Utilizator stelian2000Stelian Chichirim stelian2000 Data 15 octombrie 2015 12:19:39
Problema Invers modular Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.65 kb
#include <cstdio>
#include <cmath>
using namespace std;

int a,n;

int ridic_putere(int a,int f)
{
    int rez=1;
    for(long long i=1;i<=f;i<<=1)
    {
        if(f & i) rez=(1LL*rez*a)%n;
        a=(1LL*a*a)%n;
    }
    return rez;
}

int main()
{
    freopen("inversmodular.in","r",stdin);
    freopen("inversmodular.out","w",stdout);
    int c,j,f,l=0,s;
    scanf("%d%d",&a,&n);
    c=sqrt(n);
    f=n;
    s=n;
    for(int i=2;i<=c;i++)
        if(n%i==0)
        {
            while(s%i==0) s=s/i;
            f=(f/i)*(i-1);
        }
    if(s>1) f=(f/s)*(s-1);
    printf("%d",ridic_putere(a,f-1));
    return 0;
}