2281.Remainders Game

Time Limit: 1s Memory Limit: 256MB

Today Pari and Arya are playing a game called Remainders.Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value 2281_1.png. There are n ancient numbers c1,c2,...,cn and Pari has to tell Arya 2281_2.png if Arya wants. Given k and the ancient values, tell us if Arya has a winning strategy independent of value of x or not. Formally, is it true that Arya can understand the value 2281_1.png for any positive integer x?Note, that 2281_3.png means the remainder of x after dividing it by y.

Input Format(From the terminal/stdin)

Input The first line of the input contains two integers n and k (1 \le n, k \le 1000000)- the number of ancient integers and value k that is chosen by Pari.The second line contains n integers c1,c2,...,cn (1 \le ci \le 1000000).

Output Format(To the terminal/stdout)

Output Print "Yes" (without quotes) if Arya has a winning strategy independent of value of x, or "No" (without quotes) otherwise.

Sample Input 1

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4 5
2 3 5 12
 · \n
 · · ·  \n

Sample Output 1

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Yes
   \n

Sample Input 2

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2 7
2 3
 · \n
 · \n

Sample Output 2

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No
  \n

Hints

In the first sample, Arya can understand 2281_4.png because 5 is one of the ancient numbers.In the second sample, Arya can't be sure what 2281_5.png is. For example 1 and 7 have the same remainders after dividing by 2 and 3, but they differ in remainders after dividing by 7.

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