import java.io.*;
import java.math.BigDecimal;
import java.util.*;

public class Main {
    public static void main(String[] args) {
        PrintWriter out = new PrintWriter(new OutputStreamWriter(System.out));
        FastScanner in=new FastScanner();
        int dp[][]=new int[1001][1001];
        for(int i=0;i<1001;i++) Arrays.fill(dp[i],-1);
        dp[1][1]=1;
        int T=in.nextInt();
        while (T-->0){
            int a=in.nextInt();
            int b=in.nextInt();
            out.println(getMax(a,b,dp));
        }
        out.flush();
    }
    public static  int getMax(int a,int b,int dp[][]){
        if(dp[a][b]!=-1) return dp[a][b];
        if(a==0||b==0) return 0;
        int left=0;
        if(getGcd(a,b)==1) left++;
        dp[a][b]  = Math.max(getMax(a-1,b,dp)+left,getMax(a,(b-1),dp)+left);
        return dp[a][b];
    }
    public static int getGcd(int x,int y){
        if(x%y==0) return y;
        return getGcd(y,x%y);
    }
    static class FastScanner {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        StringTokenizer st=new StringTokenizer("");
        String next() {
            while (!st.hasMoreTokens())
                try {
                    st=new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }
        int[] readArray(int n) {
            int[] a=new int[n];
            for (int i=0; i<n; i++) a[i]=nextInt();
            return a;
        }
        long nextLong() {
            return Long.parseLong(next());
        }
    }
}