最小堆的实现---（附完整运行代码）

1.最小堆的数据结构

2.最小堆的创建算法

3.最小堆的插入算法

4.最小堆的删除算法

#include
#include
typedef struct HNode * Heap;
struct HNode{
	int * Data;
	int Size;
	int Capacity;
};
typedef Heap MinHeap;
typedef Heap MinHeap;

//最小堆的创建 
#define MINDATA -1
MinHeap CreateHeap(int MaxSize){
	MinHeap H = (MinHeap)malloc(sizeof(struct HNode));
	H->Data = (int *)malloc ((MaxSize+1)*sizeof(int));
	H->Size=0;
	H->Capacity=MaxSize;
	H->Data[0]=MINDATA;
	
	return H;
}

//最小堆的插入

bool IsFull(MinHeap H){
	return (H->Size==H->Capacity);
} 

bool Insert(MinHeap H,int X){
	int i;
	if(IsFull(H)){
		printf("最小堆已满\n");
		return false;
	}
	i=++H->Size;
	for(;H->Data[i/2]>X;i/=2){
		H->Data[i]=H->Data[i/2];
	}
	H->Data[i]=X;
	return true;
} 

//最小堆的删除
#define ERROR -1
bool IsEmpty(MinHeap H){
	return (H->Size==0);
} 

int DeleteMin(MinHeap H){
	int  Parent,Child;
	int MaxItem,X;
	if(IsEmpty(H)){
		printf("最大堆为空\n");
		return false;
	} 
	MaxItem=H->Data[1];
	X=H->Data[H->Size--];
	for(Parent=1;Parent*2<=H->Size;Parent=Child){
		Child=Parent*2;
		if((Child!=H->Size)&&(H->Data[Child]>H->Data[Child]+1))
			Child++;
		if(X<=H->Data[Child]) break;
		else{
			H->Data[Parent]=H->Data[Child];
		}
	}
	H->Data[Parent]=X;
	
	return MaxItem;
}



int main(){
	MinHeap mp = CreateHeap(10);
	int i,n,z;
	printf("您要插入几个数：");
	scanf("%d",&n);
	for(i=0;iSize;i++)
		printf("%d ",mp->Data[i]);
	printf("\n"); 
	printf("最小 堆删除后的遍历: \n"); 
	DeleteMin(mp);
	for(i=1;i<=mp->Size;i++)
		printf("%d ",mp->Data[i]);
	return 0;
}

运行结果：