**Stone Division, Revisited**

### Problem Statement :

You have a pile of stones that you want to split into multiple piles, as well as a set, , of distinct integers. We define a move as follows: First, choose a pile of stones. Let's say that the chosen pile contains stones. Next, look for some such that and is divisible by (i.e., is a factor of ); if such an exists, you can split the pile into equal smaller piles. You are given queries where each query consists of and . For each query, calculate the maximum possible number of moves you can perform and print it on a new line Input Format The first line contains an integer, , denoting the number of queries. The subsequent lines describe each query in the following format: The first line contains two space-separated integers describing the respective values of (the size of the initial pile in the query) and (the size of the set in the query). The second line contains distinct space-separated integers describing the values in set . Output Format For each query, calculate the maximum possible number of moves you can perform and print it on a new line.

### Solution :

` ````
Solution in C++ :
In C++ :
#include <bits/stdc++.h>
#include<assert.h>
#define pf printf
#define sf scanf
#define vlong lobg long
using namespace std;
map<vlong, vlong>dp;
map<vlong, bool>done;
vlong arr[1003], n;
int m;
vlong rec(vlong pile)
{
if(done[pile] == 1)
{
return dp[pile];
}
vlong ans = 0;
for(int i=0; i<m; i++)
{
if(pile%arr[i] == 0 && (pile/arr[i])>1)
{
//ans = max(ans, (1LL + ( ( ( (pile/arr[i]) % mod) * rec(arr[i]) ) % mod ) % mod) );
ans = max(ans, 1LL + ( (pile/arr[i]) * rec(arr[i]) ) );
}
}
done[pile] = 1;
return dp[pile] = ans;
}
void solution() {
int q;
sf("%d", &q);
for(int k=0; k<q; k++){
//dp.clear();
done.clear();
sf("%lld %d", &n, &m);
for(int i=0; i<m; i++)
sf("%lld", &arr[i]);
vlong ans = rec(n);
cout<<ans<<endl;
}
}
int main () {
//freopen("input.txt", "r", stdin);
solution();
return 0;
}
```

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