import math
from sys import stdin
n, m, *a = map(int, stdin.read().split())

divideset = set()
for i in range(1,int(math.floor(math.sqrt(m)))+2):
    if m % i == 0:
        divideset.add(i)
        divideset.add(m//i)

dividelist = list(divideset)
dividelist.sort()
dividedict = dict()
nd = len(dividelist)
for i in range(nd):
    dividedict[dividelist[i]] = i

for i in range(n):
    kari = math.gcd(a[i],m)
    a[i] = kari

dp = [[0 for i in range(nd)] for j in range(n+1)]
dp[0][0] = 1
for i in range(n):
    for j in range(nd):
        kari = a[i] * dividelist[j]
        val = math.gcd(kari,m)
        dp[i+1][j] += dp[i][j]
        dp[i+1][dividedict[val]] += dp[i][j]

ans = dp[n][nd-1]
print("{}".format(ans))