堆排序C++实现

2014-11-24 12:38:58 · 作者: · 浏览: 0

// 堆排序.cpp : Defines the entry point for the console application.

//时间复杂度为nlgn

//建立最大堆

#include "stdafx.h"

#include

using namespace std;

int A[100];

//

//保持堆得性质

//a 为待排序数组,sum是待排序元素个数i是父元素序号

void keep_heapify(int *a,int sum,int i)

{

int left = 2*i;

int right = 2*i+1;

int largest = i;

if(left<=sum&&a[left]>a[i])

largest = left;

if(right<=sum&&a[right]>a[largest])

largest = right;

if(largest!=i)

{

int temp = a[i];

a[i] = a[largest];

a[largest] = temp;

keep_heapify(a,sum,largest);

}

}

//创建大堆

void create_heap(int *a,int sum)

{

int i;

for(i=sum/2;i>=1;i--)

{

keep_heapify(a,sum,i);

}

}

//堆排序

//首先建立大堆,然后交换堆顶和堆底的元素,待排序元素总数减一

//调用keep_heapify()保持堆性质,直到排完

void heap_sort(int *a,int sum)

{

create_heap(a,sum);

int j;

int num = sum;

for(j=sum;j>=2;j--)

{

num--;

int temp = a[1];

a[1]=a[j];

a[j]=temp;

keep_heapify(a,num,1);

}

}

int _tmain(int argc, _TCHAR* argv[])

{

int cases;

cout<<"请输入案例个数:"<

cin>>cases;

while(cases--)

{

cout<<"请输入需要排序元素的个数:"<

int n;

cin>>n;

int k;

cout<<"请输入需要排序的元素:"<

for(k=1;k<=n;k++)

cin>>A[k];

cout<<"排序前:"<

for(k=1;k<=n;k++)

cout<

cout<

heap_sort(A,n);

cout<<"堆排序后:"<

for(k=1;k<=n;k++)

cout<

cout<

}

system("pause");

return 0;

}

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