Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M.
Let a semi-common multiple of A be a positive integer X that satisfies the following condition for every $k (1 \leq k \leq N)$:
- There exists a non-negative integer p such that $X= a_k \times (p+0.5)$.
Find the number of semi-common multiples of A among the integers between 1 and M (inclusive).

-----Constraints-----
- $1 \leq N \leq 10^5$
- $1 \leq M \leq 10^9$
- $2 \leq a_i \leq 10^9$
- a_i is an even number.
- All values in input are integers.

-----Input-----
Input is given from Standard Input in the following format:
N M
a_1 a_2 ... a_N

-----Output-----
Print the number of semi-common multiples of A among the integers between 1 and M (inclusive).

-----Sample Input-----
2 50
6 10

-----Sample Output-----
2

• $15 = 6 \times 2.5$
• $15 = 10 \times 1.5$
• $45 = 6 \times 7.5$
• $45 = 10 \times 4.5$
  Thus, 15 and 45 are semi-common multiples of A. There are no other semi-common multiples of A between 1 and 50, so the answer is 2.

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