CF687B.Remainders Game
普及/提高-
通过率:0%
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题目描述
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 . There are n ancient numbers c1,c2,...,cn and Pari has to tell Arya
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
for any positive integer x ?
Note, that means the remainder of x after dividing it by y .
输入格式
The first line of the input contains two integers n and k ( 1<=n, k<=1000000 ) — the number of ancient integers and value k that is chosen by Pari.
The second line contains n integers c1,c2,...,cn ( 1<=ci<=1000000 ).
输出格式
Print "Yes" (without quotes) if Arya has a winning strategy independent of value of x , or "No" (without quotes) otherwise.
输入输出样例
输入#1
4 5 2 3 5 12
输出#1
Yes
输入#2
2 7 2 3
输出#2
No
说明/提示
In the first sample, Arya can understand because 5 is one of the ancient numbers.
In the second sample, Arya can't be sure what 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 .