Cod sursa(job #2186391)

Utilizator VladG26Ene Vlad-Mihai VladG26 Data 25 martie 2018 16:11:44
Problema Algoritmul lui Euclid extins Scor 0
Compilator cpp Status done
Runda Arhiva educationala Marime 0.86 kb
#include <iostream>
#include <cstdio>
using namespace std;
int cmmdc(int a,int b)
{
    if(b==0)
        return a;
    return cmmdc(b,a%b);
}
void solve(int a,int b,int &x,int &y)
{
    if(b==0)
    {
        x=1;
        y=0;
        return;
    }
    int x0,y0;
    solve(b,a%b,x0,y0);
    x=y0;
    y=x0-(a/b)*y0;
}
int main()
{
    freopen("euclid3.in","r",stdin);
    freopen("euclid3.out","w",stdout);
    int t,x,y,z,ok;
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d%d%d",&x,&y,&z);
        ok=0;
        if(x<y)
            swap(x,y),ok=1;
        int c=cmmdc(x,y);
        if(z%c==0)
        {
            int a,b;
            solve(x,y,a,b);
            if(ok)
                swap(x,y);
            printf("%d %d\n",a*(z/c),b*(z/c));
        }
        else
            printf("0 0\n");
    }
    return 0;
}