#include<bits/stdc++.h>
#define rep(i, l, r) for(int i = (l), i##end = (r);i <= i##end;++i)
using std::cin;
using std::cout;
using u32 = unsigned;
using u64 = unsigned long long;
using ll = long long;

int n, m;
const int N = 2010;
int dp[N][N];
inline int ask(int x, int y) {
    if(x==0||y==0)return -1e9;
    if(x==1&&y==1)return 1;
    if(~dp[x][y])return dp[x][y];
    return dp[x][y]=std::max(ask(x-1,y),ask(x,y-1))+(std::__gcd(x,y)==1);
}
int main() {
    memset(dp, -1, sizeof dp);
    std::ios::sync_with_stdio(false), cin.tie(0);
    int test;
    cin >> test;
    for(int i = 0,a,b;i < test;++i) {
        cin >> a >> b;
        cout << ask(a, b) << '\n';
    }
}