Cod sursa(job #2290516)

Utilizator TeodorAxinteAxinte Teodor TeodorAxinte Data 26 noiembrie 2018 17:04:01
Problema Invers modular Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.64 kb
#include <bits/stdc++.h>
using namespace std;
ifstream fin("inversmodular.in");
ofstream fout("inversmodular.out");
typedef long long Int;
Int n,a,sol,phi,p,q,MOD;

inline Int putere(Int b,Int e)
{
    if(e==0)
        return 1;
    Int r=putere(b,e/2);
    r=r*r%MOD;
    if(e%2)
        r=r*b%MOD;
    return r;
}
int main()
{
    fin>>a>>n;
    MOD=n;
    phi=1;
    for(p=2;p*p<=n;p++)
    if(n%p==0)
    {
        n/=p;phi*=p-1;
        while(n%p==0)
        {
            n/=p;
            phi*=p;
        }
    }
    if(n>1)
        phi*=n-1;
    cerr<<phi;
    sol=putere(a,phi-1);
    fout<<sol;
    return 0;
}