Cod sursa(job #3290213)

Utilizator contandrei3Andrei Mihai contandrei3 Data 29 martie 2025 14:59:17
Problema Invers modular Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.7 kb
#include <bits/stdc++.h>

using namespace std;
ifstream fin ("inversmodular.in");
ofstream fout ("inversmodular.out");
long long a,m;
int exp_rpd (long x, long y) //x^y
{
    if (y==0) return 1;
    if (y==1) return x;
    long long rez=exp_rpd(x,y/2)%m;
    rez=(rez*rez)%m;
    if (y%2==1) rez*=x;
    rez=rez%m;
    return rez;
}
int phi (int x)
{
    int phi_x=x;
    for (int d=2;d*d<=x;d++)
        {
            if (x%d==0)
                {
                    while (x%d==0) x/=d;
                    phi_x-=phi_x/d;
                }
        }
    if (x>1) phi_x-=phi_x/x;
    return phi_x;
}
int main()
{
    fin>>a>>m;
    fout<<exp_rpd(a,phi(m)-1);
    return 0;
}