#define _CRT_SECURE_NO_WARNINGS
#define _SILENCE_CXX17_C_HEADER_DEPRECATION_WARNING
#include <bits/stdc++.h>
using namespace std;
int a[15], T, n, ans;
int c[15];
set<int> S;
int gcd(int a, int b) { return b ? gcd(b, a % b) : a; }
void dfs(int st)
{
    ans = max(ans, st);
    for (int i = 0; i < n; i++)
        if (!S.count(a[i]))
        {
            bool flag = true;
            for (int j = 0; j < st; j++)
                if (gcd(a[i], c[j]) != 1)
                    flag = false;
            if (flag)
            {
                S.insert(a[i]);
                c[st] = a[i];
                dfs(st + 1);
                S.erase(a[i]);
            }
        }
}
int main()
{
    int T;
    scanf("%d", &T);
    while (T--)
    {
        ans = 0;
        scanf("%d", &n);
        for (int i = 0; i < n; i++) scanf("%d", a + i);
        //dfs(0);
        for (int i = 0; i < (1 << n); i++)
        {
            bool flag = true;
            for (int j = 0; j < n; j++)
                for (int k = j + 1; k < n; k++)
                    if ((i & (1 << j)) && (i & (1 << k)))
                        if (gcd(a[j], a[k]) != 1)
                            flag = false;
            if (flag)
            {
                int cnt = 0;
                for (int x = i; x; x -= x & -x) cnt++;
                ans = max(ans, cnt);
            }
        }
        cout << ans << endl;
    }
    return 0;
}