Cod sursa(job #2416422)

Utilizator stelian2000Stelian Chichirim stelian2000 Data 27 aprilie 2019 15:39:42
Problema Invers modular Scor 50
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.59 kb
#include <bits/stdc++.h>

using namespace std;

int n;

int rid_put(int a,int b)
{
    int sol=1;
    for(int i=1;i<=b;i<<=1)
    {
        if(b&i) sol=(1LL*sol*a)%n;
        a=(1LL*a*a)%n;
    }
    return sol;
}

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