Cod sursa(job #3221466)

Utilizator Ilinca_Radu_2022Radu Ilinca-Rucsandra Ilinca_Radu_2022 Data 7 aprilie 2024 11:17:01
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.7 kb
#include <bits/stdc++.h>
using namespace std;
ifstream fin("euclid3.in");
ofstream fout("euclid3.out");
long long t, a, b, c;
void euclid_extins(long long a, long long b, long long &x, long long &y) {
    if (b==0) {
        x=1, y=0;
    }
    else {
        long long xx, yy;
        euclid_extins(b, a%b, xx, yy);
        x=yy;
        y=xx-a/b*yy;
    }
}
int main()
{
    fin>>t;
    while (t--) {
        fin>>a>>b>>c;
        if (c%__gcd(a, b)!=0) {
            fout<<0<<' '<<0<<'\n';
            continue;
        }
        long long x, y;
        euclid_extins(a, b, x, y);
        x*=c/__gcd(a, b);
        y*=c/__gcd(a, b);
        fout<<x<<' '<<y<<'\n';
    }
    return 0;
}