Cod sursa(job #2910652)

Utilizator alexioana_2006Apostolache Alexia alexioana_2006 Data 23 iunie 2022 12:21:37
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.67 kb
#include <bits/stdc++.h>

using namespace std;

ifstream fin("euclid3.in");

ofstream fout("euclid3.out");

int euclid_extins(int a, int b, int &x, int &y)
{
    if(a==0)
    {
        x=0; y=1;

        return b;
    }

    int x1, y1;

    int d=euclid_extins(b%a, a, x1, y1);

    x=y1-(b/a)*x1; y=x1;

    return d;
}

int main()
{
    ios::sync_with_stdio(false);

    cin.tie(0);

    int t, a, b, c, x, y;

    fin>>t;

    for(int i=1;i<=t;++i)
    {
        fin>>a>>b>>c;

        int d=euclid_extins(a,b,x,y);

        if(c%d!=0) fout<<"0 0"<<'\n';

        else fout<<x*(c/d)<<" "<<y*(c/d)<<'\n';
    }


    return 0;
}