Submission #375869

#TimeUsernameProblemLanguageResultExecution timeMemory
375869VimmerEuklid (COCI20_euklid)C++14
110 / 110
1 ms512 KiB
#include <bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>

//#pragma GCC optimize("unroll-loops")
//#pragma GCC optimize("-O3")
//#pragma GCC optimize("Ofast")

#define N 100005
#define NN 1005000
#define PB push_back
#define M ll(1e9 + 7)
#define all(x) x.begin(), x.end()
#define sz(x) int(x.size())
#define pri(x) cout << x << endl
#define endl '\n'
#define _ << " " <<
#define F first
#define S second

using namespace std;
//using namespace __gnu_pbds;

//typedef tree <int, null_type, less <int>, rb_tree_tag, tree_order_statistics_node_update> oredered_set;

typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
typedef short int si;

ll R(ll a, ll b)
{
    if (a > b)
        swap(a, b);

    if (a == 1)
        return b;

    return R(a, b / a);
}

int main()
{
    ios_base::sync_with_stdio(0); istream::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    //freopen("1.in", "r", stdin);

    int q;

    cin >> q;

    for (; q > 0; q--)
    {
        ll h, g;

        cin >> g >> h;

        if (g == h)
        {
            pri(g _ g);

            continue;
        }

        ll val = h;

        for (;; val *= h)
        {
            ll b = val / g;

            if (val % g)
                b++;

            b *= g;

            ll a = h * b + g;

            if (__gcd(a, b) == g && R(a, b) == h)
            {
                pri(a _ b);

                break;
            }
        }
    }
}
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