This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#pragma loop-opt(on)
#pragma GCC optmize("Ofast")
#define print(x) cout << #x <<" = " << x << endl
#define pprint(x) cout << #x <<" = (" << x.first << " , " << x.second <<" )\n"
#define rep(i, a, b) for(int i = a; i <= b; i++)
#define rrep(i, a, b) for(int i = b; i >= a; i--)
#define ceil(a, b) ((a + b - 1) / b)
#define all(x) x.begin(), x.end()
#define MAXN 1000005
#define INF 1000000000000000000
#define MOD 1000000007
#define eps (1e-9)
#define int long long int
#define lld long double
#define pii pair<int, int>
#define random mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count())
using namespace std;
int t, g, h, a, b, hh;
bool check(int a, int b) {
int aa = a, bb = b;
if(__gcd(a, b) != g) return false;
while(b != 1) {
if(a < b) swap(a, b);
else a /= b;
pprint(pii(a, b));
}
pprint(pii(aa, bb));
if(a != h) pprint(pii(h, g));
return a == h;
}
void solve(int g, int h) {
hh = h;
while(hh <= g) hh *= h;
b = g * ceil(hh, g), a = b * h + g;
}
signed main() {
ios::sync_with_stdio(false), cin.tie(0);
// rep(i, 1, 1500) rep(j, 2, 1500) g = i, h = j, solve(i, j),pprint(pii(a, b)),assert(check(a, b));
cin >> t;
while(t--) {
cin >> g >> h, hh = h;
while(hh <= g) hh *= h;
b = g * ceil(hh, g), a = b * h + g;
cout << a <<" " << b <<"\n";
// print(check(a, b));
}
return 0;
}
Compilation message (stderr)
euklid.cpp:2: warning: ignoring #pragma loop [-Wunknown-pragmas]
2 | #pragma loop-opt(on)
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euklid.cpp:3: warning: ignoring #pragma GCC optmize [-Wunknown-pragmas]
3 | #pragma GCC optmize("Ofast")
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