栈的顺序存储结构、链式存储架构及其实现_顺序栈和链栈的时间复杂度均为

顺序栈和链式栈的时间复杂度均为O(1), 因此唯一可以比较的是空间性能。初始时顺序栈必须开辟一个固定的长度内存，所以存在可存储元素个数限制和浪费空间的问题。链式栈没有栈满的问题，只有当内存空间用完才会出现栈满的情况。但是每个元素都需要一个指针域，从而存在结构性开销。所以当栈的使用元素个数变化较大时，应采用链栈；反之应该采用顺序栈。

顺序存储结构及C语言实现

#include<iostream>
using namespace std;
#define StackSize 100
//定义数据类型
typedef int DataType;
//定义结构体
typedef struct 
{
    DataType data[StackSize];
    int top;
}SeqStack;
//初始化栈
void InitStack(SeqStack *S) {
    S->top = -1;                //要注意处置状态时栈顶位置为-1
}
//入栈操作
int Push(SeqStack *S, DataType x) {
    if(S->top == StackSize - 1) {
        printf("Failed, because the stack is full!\n");
        return 0;
    } 
    S->data[++S->top] = x;
    return 1;
}
//出栈操作
int Pop(SeqStack *S, DataType *ptr) {
    if(S->top == -1) {
        printf("Failed, because the stack is empty!\n");
        return 0;
    }
    *ptr = S->data[S->top--];
    return 1;
}
//获取栈顶元素
int GetTop(SeqStack *S, DataType *ptr) {
    if(S->top == -1) {
        printf("ERROR, the stack is empty, you can't get the top of the stack!\n");
        return 0;
    }
    *ptr = S->data[S->top];
    return 1;
}
//判断栈是否为空
int Empty(SeqStack *S) {
    if(S->top == -1)
        return 1;
    else
        return 0;
}
//主函数
int main() {
    DataType x;
    SeqStack S;
    InitStack(&S);      //初始化栈
    printf("We want to insert 10 and 15. \n");
    Push(&S, 10);       //元素10入栈
    Push(&S, 15);       //元素15入栈
    if(GetTop(&S, &x) == 1)         //打印栈顶元素
        printf("Now, the top element of the stack is %d \n", x);
    if(Pop(&S, &x) == 1)            //出栈
        printf("Doing a Pop, the element you delete is : %d\n", x);
    if(GetTop(&S, &x) == 1)         //打印栈顶元素
        printf("Now, the top element of the stack is %d \n", x);
    printf("you can push a new element into stack.\n");
    scanf("%d", &x);                //自定义元素入栈
    Push(&S, x);                    //然后输出栈顶元素
    if(Empty(&S) == 1)
        printf("your stack is empty!\n");
    else {
        printf("your stack isn't empty!\t");
        if(GetTop(&S, &x) == 1)
        printf("And the top element of the stack is %d \n", x);
    }
    system("pause");
    return 0;
}
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76

链式存储结构及C语言实现

#include<iostream>
using namespace std;
#define MaxSize 100
typedef int DataType;
//定义节点结构体
typedef struct Node
{
	DataType data;
	struct Node *next;
}Node;
//初始化
Node * InitStack() {
	Node *top = NULL;
	return top;
}
//销毁栈
void DestroyStack(Node *top) {
	Node *p = top;
	while (top != NULL) {
		printf("%d\t", top->data);
		top = top->next;
		free(p);
		p = top;
	}
}
//入栈操作
void Push(Node **top, DataType x) {
	Node *s = (Node *)malloc(sizeof(Node));
	s->data = x;
	s->next = *top;
	*top = s;
}
//出栈操作
int Pop(Node **top, DataType *ptr) {
	Node *p = *top;
	if (top == NULL) {
		printf("1ERROR, the stack is empty!\n");
		return 0;
	}
	*ptr = (*top)->data;
	*top = (*top)->next;
	free(p);
	return 1;
}
//获取栈顶元素
int GetTop(Node *top, DataType *ptr) {
	if (top == NULL) {
		printf("2ERROR, the stack is empty!\n");
		return 0;
	}
	*ptr = top->data;
	return 1;
}
//判断栈是否为空
int Empty(Node *top) {
	if (top == NULL)
		return 1;
	else
		return 0;
}
int main() {
	DataType x;
	Node *top = InitStack();
	printf("We want to insert 10 and 15. \n");
	Push(&top, 10);       //元素10入栈
	if (GetTop(top, &x) == 1)         //打印栈顶元素
		printf("Now, the top element of the stack is %d \n", x);
	Push(&top, 15);       //元素15入栈
	if (GetTop(top, &x) == 1)         //打印栈顶元素
		printf("Now, the top element of the stack is %d \n", x);
	if (Pop(&top, &x) == 1)            //出栈
		printf("Doing a Pop, the element you delete is : %d\n", x);
	if (GetTop(top, &x) == 1)         //打印栈顶元素
		printf("Now, the top element of the stack is %d \n", x);
	printf("you can push a new element into stack: \t");
	scanf("%d", &x);                //自定义元素入栈
	Push(&top, x);                    //然后输出栈顶元素
	if (Empty(top) == 1)
		printf("your stack is empty!\n");
	else {
		printf("your stack isn't empty!\t");
		if (GetTop(top, &x) == 1)
			printf("And the top element of the stack is %d \n", x);
	}
	DestroyStack(top);
	system("pause");
	return 0;
}

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89