这次只有一道题:数制转换,采用了顺序栈和链栈。这是栈的一个很经典的应用,不过结构定义和算法实现方法不唯一,如果大家有其他的算法实现,在下面评论哦!
目录
1、题目
代码
执行结果
3、链栈实现
代码
执行结果
习题一:数制转换
1、题目
将一个十进制的数转化为八进制。
2、顺序栈实现
代码
#define MAXSTACKSIZE 20
#define STACKCREMENT 5
#include<iostream>
#include<malloc.h>
using namespace std;
typedef struct {
int *base;
int *top;
int stacksize;
}SqStack;
int InitStack(SqStack &S) {
S.base = (int*)malloc(MAXSTACKSIZE * sizeof(SqStack));
if (!S.base)
{
exit(OVERFLOW);
}
S.top = S.base;
S.stacksize = MAXSTACKSIZE;
return 1;
}
int Push(SqStack &S, int e) {
if (S.top - S.base == S.stacksize) {
S.base = (int *)realloc(S.base, (S.stacksize + STACKCREMENT) * sizeof(SqStack));
if (!S.base)
{
cout << "空间分配失败" << endl;
exit(OVERFLOW);
}
S.stacksize += STACKCREMENT;
}
*S.top++ = e;
return 1;
}
int Pop(SqStack &S, int &e) {
if (S.top == S.base)
return 0;
e = *--S.top;
return 1;
}
int DecimalismToOctal(SqStack &S, int decimalism, int &octal) {
int remainder;
int r;
octal = 0;
do{
remainder = decimalism % 8;
Push(S, remainder);
decimalism /= 8;
} while (decimalism);
while (S.top != S.base)
{
octal *= 10;
Pop(S, r);
octal += r;
}
return 1;
}
void main() {
SqStack S;
InitStack(S);
int decimalism_a = 160;
int octal_a;
DecimalismToOctal(S, decimalism_a, octal_a);
cout << "将十进制" << decimalism_a << "转化为八进制后的值为" << octal_a << endl;
}
执行结果
3、链栈实现
代码
#include<iostream>
#include<malloc.h>
using namespace std;
typedef struct LNode {
int data;
struct LNode *next;
}LNode, *LinkStack;
int InitStack(LinkStack &LS) {
LS = (LinkStack)malloc(sizeof(LNode));
if (!LS)
{
cout << "空间分配失败" << endl;
return OVERFLOW;
}
LS->next = NULL;
return 1;
}
int Push(LinkStack &LS, int e) {
LS->data = e;
LinkStack p = (LinkStack)malloc(sizeof(LNode));
p->next = LS;
LS = p;
return 1;
}
int Pop(LinkStack &LS, int &e) {
if (LS->next)
{
LinkStack p = LS->next;
e = p->data;
LS->next = p->next;
free(p);
return 1;
}
return 0;
}
int DecimalismToOctal(LinkStack &LS, int decimalism, int &octal) {
int r;
octal = 0;
while (decimalism)
{
r = decimalism % 8;
decimalism /= 8;
Push(LS, r);
}
while (LS->next)
{
octal *= 10;
Pop(LS, r);
octal += r;
}
return 1;
}
void main() {
LinkStack S;
InitStack(S);
int decimalism_a = 120;
int octal_a;
DecimalismToOctal(S, decimalism_a, octal_a);
cout << "将十进制" << decimalism_a << "转化为八进制后的值为" << octal_a << endl;
}