There is one GOD number and N DEVIL numbers. We want to find how many numbers are there which exactly divide the GOD number, but does not divide any of the DEVIL numbers.
Input Format: The first line of input contains two numbers N and K seperated by spaces. N is the number of DEVIL numbers, K is the GOD number. The second line of input contains N space separated DEVIL numbers.
Output Format: Output the answer in a single line.
Constraints:
1 <= N <= 10^6
1 <= K <= 10^13
1 <= DEVIL numbers <= 10^18
Sample Input:
8 16
2 5 7 4 3 8 3 18
Sample Output:
1
Explanation :
Divisors of the given GOD number 16, are { 1, 2, 4, 8, 16 } and the DEVIL numbers are {2, 5, 7, 4, 3, 8, 3, 18}. Now 1 divides all DEVIL numbers, 2 divide 2, 4 divide 4, 8 divide 8 but 16 divides none of them. So only one number exists which divide the GOD number but does not divide any of the DEVIL numbers. So the answer is 1.