#define _CRT_SECURE_NO_WARNINGS
#include<bits/stdc++.h>
#include <unordered_map>
//#include"testlib.h"
#define endl '\n'
#define all(v) v.begin(),v.end()
#define allr(s) s.rbegin(),s.rend()
#define RT(s) return cout<<s,0
#define sz(s)    (int)(s.size())
//#define PI acos(-1)
#define EPS 1e-8
#define watch(x) cout << (#x)<<" = "<<x<<endl
#define mk(x, y) make_pair(x, y)
using namespace std;
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
typedef pair<int, int> ii;
typedef vector<int> vi;
typedef vector<ii> vii;
int dy[] = { 1, -1, 0, 0, -1, 1, 1, -1 };
int dx[] = { 0, 0, 1, -1, 1, -1, 1, -1 };
void file() {
#ifndef ONLINE_JUDGE
	freopen("in.txt", "r", stdin);
	//freopen("out.txt", "w", stdout);
#else
	//freopen("gcd.in", "r", stdin);
	//freopen("out.txt", "w", stdout);
#endif
}


void fast() {
	std::ios_base::sync_with_stdio(0);
	cin.tie(NULL);
}
int main() {
	file();
	fast();
	int t; cin >> t;
	while (t--) {
		ll n, a; cin >> n >> a;
		ll b = 0, ans = 0;
		for (ll i = n; i >= max(1LL, n - 1000); i--) {
			ll lc = lcm(a, i);
			ll g = gcd(a, i);
			if (lc / g >= ans)
				ans = lc / g, b = i;
		}
		cout << b << endl;

	}
	return 0;
}