CodeForces 275C 贪心

A k-multiple free set is a set of integers where there is no pair of integers where one

is equal to another integer multiplied by k. That is, there are no two integers x and y

(x<y) from the set, such that y=x·k.

You're given a set of n distinct positive integers. Your task is to find the size of

it's largest k-multiple free subset.

Input

The first line of the input contains two integers n and k

(1≤n≤105,1≤k≤109). The next line contains a list of n distinct positive

integers a1,a2,...,an (1≤ai≤109).

All the numbers in the lines are separated by single spaces.

Output

On the only line of the output print the size of the largest k-multiple free subset of

{a1,a2,...,an}.

Sample Input

Input

6 2

2 3 6 5 4 10

Output

3

Hint

In the sample input one of the possible maximum 2-multiple free subsets is {4, 5,

6}.

题意：给定集合， 就出不存在y = k*x的子集。

贪心：从小到大选过去，如果选到，则他的k *x 不能选，用set标记下来

代码：

#include <stdio.h>
#include <string.h>
#include <set>
#include <algorithm>
using namespace std;

int n, k, i, j;
long long num[100005], ans;
set<long long> save;
int main() {
    ans = 0;
    scanf("%d%d", &n, &k);
    for (i = 0; i < n; i ++) {
        scanf("%lld", &num[i]);
    }
    sort(num, num + n);
    for (i = 0; i < n; i ++) {
        if (save.count(num[i]) == 0) {
            ans ++;
            save.insert(num[i] * k);
        }
    }
    printf("%lld\n", ans);
    return 0;
}

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