#include <bits/stdc++.h>
using namespace std;
const int maxn = 1e3+5;
int dp[maxn][maxn];
int T,a,b;
int main (){
    ios::sync_with_stdio(false);
    for (int i=1; i<=1000; i++) dp[0][i]=dp[i][0]=1,dp[i][1]=i;
    dp[1][1]=1;
    for (int i=1; i<=1000; i++)
        for (int j=2; j<=1000; j++)
            dp[i][j]=max(dp[i-1][j],dp[i][j-1])+ (__gcd(i,j)==1 ? 1 : 0);
    //freopen("in.txt","r",stdin);
    cin >> T;
    while(T--){
        cin >> a >> b;
        cout << dp[a][b] << "\n"; 
    }
    return 0;
}