Cod sursa(job #1642555)

Utilizator tudormaximTudor Maxim tudormaxim Data 9 martie 2016 14:52:26
Problema Invers modular Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.68 kb
#include <iostream>
#include <fstream>
using namespace std;

ifstream fin ("inversmodular.in");
ofstream fout ("inversmodular.out");

void euclid(int a, int b, long long &x, long long &y)
{
    long long xx, yy;
    if(b==0)
    {
        x=1, y=0;
        return;
    }
    euclid(b, a%b, xx, yy);
    x=yy;
    y=xx-yy*(a/b);
}

long long inv_mod (int a, int n)
{
    long long inv, ins;
    euclid(a, n, inv, ins);
    if(inv<=0) inv=n+(inv%n);
    return inv;
}

int main()
{
    ios_base::sync_with_stdio(false);
    int a, n;
    long long inv=0, ins;
    fin >> a >> n;
    fout << inv_mod(a, n);
    fin.close();
    fout.close();
    return 0;
}