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- #include <bits/stdc++.h>
- using namespace std;
- #define pb push_back
- #define ll long long
- ll LCM(ll a, ll b)
- {
- return (a*b)/__gcd(a, b);
- }
- int main()
- {
- int t;
- cin >> t;
- while(t--) {
- ll k, x;
- cin >> k >> x;
- vector< ll > v;
- for(int i=2; i*i<x; i++) {
- if(x%i==0) {
- v.pb(x/i);
- v.pb(i);
- }
- }
- ll ans = 1e18;
- ll sz = v.size();
- ll temp = k-1+x;
- ll lol=0;
- for(int i=0; i<sz; i++) {
- for(int j=i+1; j<sz; j++) {
- if(i==j) continue;
- if(__gcd(v[i],v[j])==1 && LCM(v[i],v[j])==x) {
- lol = (k-2)+v[i]+v[j];
- ans = min(ans, lol);
- }
- }
- }
- cout << min(ans, temp) << endl;
- }
- return 0;
- }
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