Cod sursa(job #997791)

Utilizator Cosmin1490Balan Radu Cosmin Cosmin1490 Data 14 septembrie 2013 21:07:06
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.29 kb
#include <vector>
#include <list>
#include <map>
#include <set>
#include <deque>
#include <queue>
#include <stack>
#include <bitset>
#include <algorithm>
#include <functional>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <cctype>
#include <string>
#include <cstring>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <ctime>
#include <fstream>
using namespace std;

const string file = "euclid3";

const string infile = file + ".in";
const string outfile = file + ".out";

const int INF = 0x3f3f3f3f;

int euclid(int a, int b, int& x, int& y)
{
	if(b == 0)
	{
		x = 1;
		y = 0;
		return a;
	}
	else
	{
		int x0 = 0;
		int y0 = 0;
		int d = euclid(b, a % b, x0, y0);

		x = y0;
		y = x0 - (a/b) * y0;

		return d;
	}
}



int main()
{
	fstream fout(outfile.c_str(), ios::out);
	fstream fin(infile.c_str(), ios::in);



	int T;
	fin >> T;
	for(int i = 0; i < T; i++)
	{
		int a, b, c;
		fin >> a >> b >> c;
		int x, y;
		int d = euclid(a, b, x, y);

		if(c % d != 0)
		{
			fout << 0 << " " << 0 << "\n";
		}
		else 
		{
			fout << x * (c/d) << " " << y * (c/d) << "\n";
		}

	}


	fin.close();
	fout.close();
}