Bash has set out on a journey to become the greatest Pokemon master. To get his first Pokemon, he went to Professor Zulu's Lab. Since Bash is Professor Zulu's favourite student, Zulu allows him to take as many Pokemon from his lab as he pleases.
But Zulu warns him that a group of k > 1 Pokemon with strengths { s1, s2, s3, ..., sk} tend to fight among each other if gcd(s1, s2, s3, ..., sk) = 1 (see notes for gcd definition).
Bash, being smart, does not want his Pokemon to fight among each other. However, he also wants to maximize the number of Pokemon he takes from the lab. Can you help Bash find out the maximum number of Pokemon he can take?
Note: A Pokemon cannot fight with itself.
Input
The input consists of two lines.
The first line contains an integer n (1 ≤ n ≤ 105), the number of Pokemon in the lab.
The next line contains n space separated integers, where the i-th of them denotes si (1 ≤ si ≤ 105), the strength of the i-th Pokemon.
Output
Print single integer — the maximum number of Pokemons Bash can take.
Example
3 2 3 4
2
5 2 3 4 6 7
#include#include #include using namespace std;const int INF = 100010;int s[INF] = { 0 };int main(){ int n; cin >> n; int m; for (int i = 0; i < n; i++) { scanf("%d", &m); int j = 1; for (j = 1; j * j < m; j++)//从1开始是对每个数都让自己这个数量从0变为1 { if (m % j == 0) { s[j]++; s[m / j]++;//因子++ } } if (j * j == m) { s[j]++; } } int ans = 1; for (int i = 2; i < INF; i++) { ans = max(ans, s[i]); } cout << ans << endl; return 0;}