Submission #854500

#	Time	Username	Problem	Language	Result	Execution time	Memory
854500		vjudge1	Euklid (COCI20_euklid)	C++17	110 / 110	432 ms	600 KiB

euklid

//author: Ahmet Alp Orakci
#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
#define int i64

int calc(int a, int b) {
    while(a != 1) {
        if(b < a) {
            swap(a, b);
            continue;
        }

        int _a = a;
        a = b / a;
        b = _a;
    }

    return b;
}

#define ONLINE_JUDGE
void solve() {
    int a, b;
    cin >> a >> b;

    /*
    for(int l = 1; l <= 10000; l++) {
        for(int r = l; r <= 10000; r++) {
            if(__gcd(l, r) == a && calc(l, r) == b) {
                cout << l << " " << r << "\n";
            }
        }
    }
    */

    for(int i = 1; ; i++) {
        if(__gcd(a * i, a * b * i + a) == a && calc(a * i, a * b * i + a) == b) {
            cout << a * i << " " << a * b * i + a << "\n";
            return;
        }
    }
    
    return;
}

signed main() {
    #ifndef ONLINE_JUDGE
        freopen(".in", "r", stdin);
        freopen(".out", "w", stdout);
    #endif

    ios_base::sync_with_stdio(false);
    cin.tie(NULL); cout.tie(NULL);

    int t = 1; cin >> t;
    for(int i = 1; i <= t; i++) {
        solve();
    }

    return 0;
}

• Subtask 1: 4 / 4
• Subtask 2: 8 / 8
• Subtask 3: 8 / 8
• Subtask 4: 15 / 15
• Subtask 5: 40 / 40
• Subtask 6: 35 / 35