Cod sursa(job #1768857)

Utilizator aaron72Armand Ioan Anusca Popa aaron72 Data 1 octombrie 2016 16:06:58
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.96 kb
//
//  main.cpp
//  edu
//
//  Created by Leonard Anusca on 01/10/2016.
//  Copyright © 2016 Aaron. All rights reserved.
//

#include <fstream>
#include <iostream>
#include <assert.h>

using namespace std;

int n;

inline int GCD(int A,int B,int &X,int &Y);

int main() {
    int a,b,c,d,x,y;
    freopen("euclid3.in", "r", stdin);
    freopen("euclid3.out", "w", stdout);
    cin>>n;
    for(int i = 1 ; i<=n ;i++){
        cin>>a>>b>>c;
        assert( -1000000000 <= a && a <= 1000000000 );
        assert( -1000000000 <= b && b <= 1000000000 );
        assert( -2000000000 <= c && c <= 2000000000 && c != 0 );
        d = GCD( a, b, x, y );
        if (c % d)
            cout<<"0 0\n";
        else
            cout<<(x*(c/d))<<' '<<(y*(c/d))<<'\n';
    }
    return 0;
}

inline int GCD(int A,int B,int &X,int &Y){
    if (B == 0)
    {
        X=1;
        Y=0;
        return A;
    }
    int X0,Y0,D;
    D=GCD(B, A%B, X0, Y0);
    X=Y0;
    Y=X0 - (A/B) * Y0;
    return D;
}