Cod sursa(job #1318363)

Utilizator LycrsTrifan Tamara Lycrs Data 15 ianuarie 2015 21:35:03
Problema Invers modular Scor 10
Compilator cpp Status done
Runda Arhiva educationala Marime 0.67 kb
#include <fstream>
#include <algorithm>
using namespace std;
ifstream cin("inversmodular.in");
ofstream cout("inversmodular.out");

int n, m;

int sol(int nr)
{
    int c=nr;
    for (int i=2; i*i<=nr; ++i)
        if (nr%i == 0)
    {
        while (nr % i ==0) nr/=i;
        c=(c/i)*(i-1);
    }
    if (nr!=1) c=c/ nr * (nr-1);
    return c;
}

int main()
{
    cin>>n>>m;
    int p=sol(m)-1;

    int nr=n;
    int c=1;

    while (p)
    {
        if (p%2)
        {
            c=c*nr %m;
            --p;
        }
        else
        {
            nr*=nr;
            p/=2;
        }
    }

    cout<<c;



    return 0;
}