#include <bits/stdc++.h>
using namespace std;

int dp[1005][1005];
int main() {
    cin.tie(0), cout.tie(0);
    ios::sync_with_stdio(0);
    for (int i = 1; i <= 1000; i++) {
        for (int j = 1; j <= 1000; j++) {
            dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]) + (__gcd(i, j) == 1);
        }
    }
    int T; cin >> T;
    while (T--) {
        int n, m;
        cin >> n >> m;
        cout << dp[n][m] << endl;
    }
}