Cod sursa(job #1234881)

Utilizator vtt271Vasile Toncu vtt271 Data 28 septembrie 2014 11:36:00
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.9 kb
#include <fstream>

using namespace std;

ifstream inFile("euclid3.in");
ofstream outFile("euclid3.out");

int cmmdc(int a, int b)
{
	if( a%b == 0 ) return b;
	else return cmmdc(b, a%b);
}

void solve(int a, int b, int &x, int &y)
{
	if( b == 0 ){
		x = 1; y = 0;
	}else{
		int x0, y0;
		solve(b, a%b, x0, y0);
		x = y0;
		y = x0 - (a/b)*y0;
	}
}

int main()
{
	int T;
	inFile >> T;

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

	while(T--){
		inFile >> a >> b >> c;

		if( b == 0 ){
			if( a == 0 ){
				if( c == 0 ){
					outFile << "1 1\n";
				}else{
					outFile << "0 0\n";
				}
			}else{
				if( c%a == 0){
					outFile << c/a << " 0\n";
				}else{
					outFile << "0 0\n";
				}
			}
			continue;
		}

		int aux = cmmdc(a,b);

		if( c % aux != 0){
			outFile << "0 0\n";
		}
		else{
			solve(a, b, x, y);
			outFile << x*(c/aux) << " " << y*(c/aux) << "\n";
		}
	}
	
}