Diana is planning to make a very long journey. Her journey consists of $N$ bus routes, numbered from $1 to N$ in the order she must take them. The buses themselves are very fast but do not run often. The $i-th$ bus route only runs every $Xi$ days.

More specifically, she can only take the $i-th$ bus on day $Xi, 2Xi, 3Xi$, and so on. Since the buses are very fast, she can take multiple buses on the same day.

Diana must finish her journey by day D, but she would like to start the journey as late as possible. What is the latest day she could take the first bus, and still finish her journey by day $D$?
It is guaranteed that it is possible for Diana to finish her journey by day $D$.  

-----Input:-----
The first line of the input gives the number of test cases, $T$. $T$ test cases follow. Each test case begins with a line containing the two integers N and D. Then, another line follows containing $N$ integers, the $i-th$ one is $Xi$.

-----Output:-----
For each test case, output one line containing an integer $Y$, where $Y$ is the latest day she could take the first bus, and still finish her journey by day $D$.

-----Constraints-----
- $1 \leq T \leq 100$
- $1 \leq Xi \leq D.$
- $1 \leq N \leq 1000.$
It is guaranteed that it is possible for Diana to finish her journey by day $D$.

-----Sample Input:-----
3

3 10

3 7 2

4 100

11 10 5 50

1 1

1  

-----Sample Output:-----
6  

99

1  

-----EXPLANATION:-----
In Sample $Case 1$, there are $N = 3$ bus routes and Bucket must arrive by day $D = 10$. She could:
- Take the 1st bus on day 6 $(X1 = 3)$,
- Take the 2nd bus on day 7 $(X2 = 7)$ and
- Take the 3rd bus on day 8 $(X3 = 2)$.  
In Sample $Case 2$, there are $N = 4$ bus routes and Bucket must arrive by day $D = 100$. She could:
- Take the 1st bus on day 99 $(X1 = 11)$,
- Take the 2nd bus on day 100$ (X2 = 10)$,
- Take the 3rd bus on day 100 $(X3 = 5)$ and
- Take the 4th bus on day 100 $(X4 = 50)$,  
In Sample Case 3, there is $N = 1$ bus route, and Bucket must arrive by day $D = 1$. She could:
- Take the 1st bus on day 1 $(X1 = 1)$.

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = '# cook your dish here\nfrom sys import stdin,stdout,setrecursionlimit\nfrom math import ceil\n\nt = int(stdin.readline())\nfor _ in range(t):\n    n,d = list(map(int,input().split()))\n    a = list(map(int,input().split()))\n    c = a[:]\n    \n    for i in range(n):\n        q = d // a[i]\n        a[i] *= q \n    for i in range(n-1,0,-1):\n        if a[i] - a[i-1] < 0:\n            q = a[i] // c[i-1]\n            a[i-1] = c[i-1] * q\n        elif a[i] - a[i-1] > 1:\n            q = a[i-1] // c[i]\n            a[i] = c[i]*(q+1)\n            \n    print(a[0])       \n        \n            \n        \n    \n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13543