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CodeForces 275C 贪心2014-04-10 csdn accelerator_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 InputInput

6 22 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
", ans);return 0;}