#pragma GCC target("avx2")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")

#include<bits/stdc++.h>

using namespace std;

void comp(int s,vector<int> &a){
  map<int,int> mp;
  for(auto &nx : a){
    mp[nx]++;
  }
  vector<int> na;
  int low=0;
  while(true){
    auto it=mp.lower_bound(low);
    if(it==mp.end()){break;}
    int i=(*it).first;
    if(i>s){break;}

    if(mp[i]>=3){
      int pack=(mp[i]-1)/2;
      mp[i]-=2*pack;
      mp[2*i]+=pack;
    }
    for(int tr=0;tr<mp[i];tr++){
      na.push_back(i);
    }
    low=(i+1);
  }
  a=na;
}

int main(){
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  int t;
  cin >> t;
  while(t--){
    int n,s;
    cin >> n >> s;

    map<int,int> bk;
    vector<int> a(n);
    int g=0;
    for(auto &nx : a){
      cin >> nx;
      if(nx>s){nx=0;}
      g=gcd(g,nx);
    }
    if(g==0){
      cout << "0\n";
      continue;
    }
    for(auto &nx : a){
      nx/=g;
    }
    // cerr << "ok\n";
    comp(s,a);
    // cerr << "ok\n";
    n=a.size();

    bitset<200005> bs;
    bs.set(0);
    for(int i=0;i<n && (!bs[(s/g)]);i++){
      bk[a[i]]++;
      if(bk[a[i]]*a[i]>(s/g)){
        bk[a[i]]--;
        continue;
      }
      bs|=(bs<<a[i]);
    }
    for(int i=(s/g);i>=0;i--){
      if(bs[i]){
        cout << i*g << "\n";
        break;
      }
    }
  }
  return 0;
}