我是靠谱客的博主 飘逸心锁,最近开发中收集的这篇文章主要介绍数据结构入门系列——用栈解决实际问题(2),觉得挺不错的,现在分享给大家,希望可以做个参考。

概述

进制转换(栈)

void DuiZhan(int num)
{
	SqStack st;
	InitStack(st); char x;
	char sixteen[] = { '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A', 'B', 'C', 'D', 'E', 'F' };
	int j;
	cout << "要将num转为哪种进制" << endl;
	cin >> j;
	switch (j)
	{
	case 2:case 8:
		while (num)
		{
			push(st, sixteen[num%j]);
			num = num / j;
		}
		while (!StackEmpty(st))
		{
			pop(st, x);
			cout << x;
		}
		cout << endl;
		break;
	case 16:
		while (num)
		{
			push(st, sixteen[num % 16]);
			num = num / 16;
		}
		while (!StackEmpty(st))
		{
			pop(st, x);
			cout << x;
		}
		cout << endl;
		break;
	}
}

进制转换(递归)

void Digui(int num)
{
	if (num == 0)
		return;
	else {
		Digui(num/16);
		if (num % 16 >= 10)
			switch (num % 16)
			{
			case 10:
				cout << "A";
				break;
			case 11:
				cout << "B";
				break;
			case 12:
				cout << "C";
				break;
			case 13:
				cout << "D";
				break;
			case 14:
				cout << "E";
				break;
			case 15:
				cout << "F";
				break;
			default:break;
			}
		else
			cout << num % 16;
	}
}

总代码:

//进制转换
#include <iostream>
using namespace std;
//五、分别用栈和递归来实现十进制转换为16进制。
#define maxsize 10
typedef struct
{
	char data[maxsize];
	int top;
}SqStack;
void InitStack(SqStack &st)
{
	st.top = -1;
}
void DestroyStack(SqStack st)
{}
int push(SqStack &st, char x)//进栈
{
	if (st.top == maxsize)
		return 0;
	else
	{
		st.top++;
		st.data[st.top] = x;
		return 1;
	}
}
int pop(SqStack &st, char &x)//出栈
{
	if (st.top == -1)
		return 0;
	else {
		x = st.data[st.top];
		st.top--;
		return 1;
	}
}
int StackEmpty(SqStack &st)//判断是否栈空 ,是:1;否:0.
{
	if (st.top == -1)
		return 1;
	else
		return 0;
}
int GetTop(SqStack &st, char &x)
{
	if (st.top == -1)
		return 0;
	else {
		x = st.data[st.top];
		return 1;
	}
}
void OutputStack(SqStack st)
{
	SqStack sts = st;
	while (sts.top != -1)
	{
		cout<< sts.data[sts.top] << " ";
		sts.top--;
	}
	cout << endl;
}
void DuiZhan(int num)
{
	SqStack st;
	InitStack(st); char x;
	char sixteen[] = { '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A', 'B', 'C', 'D', 'E', 'F' };
	int j;
	cout << "要将num转为哪种进制" << endl;
	cin >> j;
	switch (j)
	{
	case 2:case 8:
		while (num)
		{
			push(st, sixteen[num%j]);
			num = num / j;
		}
		while (!StackEmpty(st))
		{
			pop(st, x);
			cout << x;
		}
		cout << endl;
		break;
	case 16:
		while (num)
		{
			push(st, sixteen[num % 16]);
			num = num / 16;
		}
		while (!StackEmpty(st))
		{
			pop(st, x);
			cout << x;
		}
		cout << endl;
		break;
	}
}

void Digui(int num)
{
	if (num == 0)
		return;
	else {
		Digui(num/16);
		if (num % 16 >= 10)
			switch (num % 16)
			{
			case 10:
				cout << "A";
				break;
			case 11:
				cout << "B";
				break;
			case 12:
				cout << "C";
				break;
			case 13:
				cout << "D";
				break;
			case 14:
				cout << "E";
				break;
			case 15:
				cout << "F";
				break;
			default:break;
			}
		else
			cout << num % 16;
	}
}
void main()
{
	int m;
	cout << "请输入num" << endl;
	cin >> m;
	DuiZhan(m);
	Digui(m);
}

后缀表达式

int fuhaocal(char fuhao, int x, int y)
{
	switch (fuhao)
	{
	case'+':
		return x + y;
	case '-':
		return x - y;
	case '*':
		return x * y;
	case '/':
		return x / y;
	default:
		cout << "false" << endl;
		return 0;
	}

	}
int calculate(char *str, int *result)
{
	char ch;
	SqStack *st = new SqStack;
	InitStack(*st);
	int i = 0;
	int c,x,y;
	while (str[i] != '=')
	{
		ch = str[i];
		if (ch >= '0'&&ch <= '9')
		{
			c = ch - '0';
			if (push(*st, c) != 1)
			{
				cout << "超出界限" << endl;
				return 0;
			}
		}
		else if (ch == '+' || ch == '-' || ch == '*' || ch == '/')
		{
			pop(*st, x);
			pop(*st, y);
			int item = fuhaocal(ch,y, x);
			push(*st, item);
		}
		i++;
	}
	*result = st->data[st->top];
	return 0;
}

中缀表达式

#include<iostream>
#include<string>
#include"head.h"
using namespace std;
int priority(char a)
{
	int i = 1;
	switch (a)
	{
	case '#':
		i = 0;
		break;
	case '+':
	case '-':
		i = 1;
		break;
	case '*':
	case '/':
		i = 2;
		break;
	case '(':
		i = 3;
		break;
	default:
		break;
	}
	return i;
}
string caculate(char a, string a1, string a2)
{
	double re=0;
	double b1, b2;
	string result;
	b1 = atof(a1.c_str());
	b2 = atof(a2.c_str());
	switch (a)
	{
	case '+':
		re = b2 + b1;
		break;
	case '-':
		re = b2 - b1;
		break;
	case '*':
		re = b2 * b1;
		break;
	case '/':
		re = b2 / b1;
		break;
	default:
		break;
	}
	result = to_string(re);
	return result;
}
void main()
{
	stackNode *data,*symbol;
	initNode(&data);
	initNode(&symbol);
	string question;
	double result;
	cin >> question;
	question = '#' + question + '#';
	for (int i = 0; i < question.length(); i++)
	{
		if (isdigit(question[i]))
		{
			string d;
			d.push_back(question[i]);
			data = push(data, d);
		}
		else
		{
			if (judge(symbol))
			{
				string s;
				s.push_back(question[i]);
				symbol = push(symbol, s);
				continue;
			}
			if (question[i] == '(')
			{
				string s;
				s.push_back(question[i]);
				symbol = push(symbol, s);
				continue;
			}
			if (question[i] == ')')
			{
				while (getTop(symbol)[0] != '(')
				{
					string s, d1, d2;
					symbol = pop(symbol, s);
					data = pop(data, d1);
					data = pop(data, d2);
					d1 = caculate(s[0], d1, d2);
					data = push(data, d1);
				}
				string s1;
				symbol = pop(symbol, s1);
				continue;
			}
			else
			{
				if (getTop(symbol)[0] == '(')
				{
					string s;
					s.push_back(question[i]);
					symbol = push(symbol, s);
					continue;
				}
				int iThis, iBefore;
				iThis = priority(question[i]);
				iBefore = priority(getTop(symbol)[0]);
				if (iThis > iBefore)
				{
					string s;
					s.push_back(question[i]);
					symbol = push(symbol, s);
				}
				if (iThis <= iBefore)
				{
					if (question[i] == '#'&&getTop(symbol)[0] == '#')
						continue;
					while (getTop(symbol)[0] != '#'&& getTop(symbol)[0] != '(')
					{
						string s, d1,d2;
						symbol = pop(symbol, s);
						data = pop(data, d1);
						data = pop(data, d2);
						d1 = caculate(s[0],d1,d2);
						data = push(data, d1);
					}
					string s;
					s.push_back(question[i]);
					symbol = push(symbol, s);
				}
			}
		}
	}
	cout << getTop(data) << endl;
}

附:递归算法

斐波那契数列

该问题可以用递归形式来表示,即有递归公式:
fibo=fibonacci(n-1)+fibonacci(n-2)
递归结束条件为:当n=1或n=2,fibo=1
可以构建一个递归子函数int fibonacci(int n)来实现求第n项的值,主函数中调用该递归子函数。

int fibos(int n)
{
	int fibo;
	if (n == 1 || n == 2)
	{
		fibo=1;
	}
	else {
		fibo = fibos(n - 1) + fibos(n - 2);//递归调用
	}
	return fibo;
}

当函数是void

void shunxu(int m)
{
	if (m == 0)
	{
		return;
	}
	else {
		mix(m - 1);
		cout << m << " ";
	}
}

在这里插入图片描述
由于递归是内存自动建立栈,所以可以这样理解。递归函数先找到出口,从出口反向运算到初始条件。这就与栈表现相似。

最后

以上就是飘逸心锁为你收集整理的数据结构入门系列——用栈解决实际问题(2)的全部内容,希望文章能够帮你解决数据结构入门系列——用栈解决实际问题(2)所遇到的程序开发问题。

如果觉得靠谱客网站的内容还不错,欢迎将靠谱客网站推荐给程序员好友。

本图文内容来源于网友提供,作为学习参考使用,或来自网络收集整理,版权属于原作者所有。
点赞(52)

评论列表共有 0 条评论

立即
投稿
返回
顶部