A10384. Remainders Game
编程题
普及/提高-
知识点
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 $c_{1},c_{2},...,c_{n}$ 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 $y$ .
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 $c_{1},c_{2},...,c_{n}$ 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 $c_{1},c_{2},...,c_{n}$ ( $1<=c_{i}<=1000000$ ).
The second line contains $n$ integers $c_{1},c_{2},...,c_{n}$ ( $1<=c_{i}<=1000000$ ).
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 $7$ .
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 $7$ .