面试题目任意位数整数减法

本文介绍了一种利用双向链表进行任意位数整数减法运算的方法,支持处理无法处理负数的情况。通过一系列辅助函数如创建链表、相减、显示结果等,实现了高效计算过程。

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/*任意位数整数减法,双向链表实现,无法处理负数,如果减数小于被减数,则显示结果的绝对值*/
#include<stdio.h>
#include<stdlib.h>
typedef unsigned char byte;
typedef struct Dgt                                //每一位数字一个节点
{
	struct Dgt * prev;
	struct Dgt * next;
	byte val;
}Digit,*P_Digit;
P_Digit CreateDigit(int *);                      //产生链表
P_Digit subtraction(P_Digit, P_Digit);      //相减
inline int IsDigit(const char);                //判断输入字符是否是数字
P_Digit endDigit(const P_Digit);            //找到最后一位
void disp(const P_Digit);                      //显示
void addZero(P_Digit, P_Digit);//被减数高位补0
void borrowDigit(P_Digit);//借位
void destroy(P_Digit);        //销毁链表
int isGT(P_Digit, P_Digit);//判断被减数是否大于减数,大于返回1,小于等于返回0

int main(int argc, char *argv[])
{
	
	int min_bit = 0, sub_bit = 0;//被减数位数,减数位数
	P_Digit minuend = NULL, subtractor = NULL, result = NULL;//被减数,减数,结果
	
	puts("Any bits integer subtraction");
	
	subtractor = CreateDigit(&sub_bit);
	minuend = CreateDigit(&min_bit);
	
	disp(subtractor);
	disp(minuend);
	
	result = subtraction(minuend, subtractor);
	disp(result);

	destroy(minuend);
	destroy(subtractor);
	destroy(result);
	return 0;
}
P_Digit CreateDigit(int *bit)
{
	int ipt = 0;
	P_Digit head = NULL,cur = NULL;
	char ch;
	
	puts("Enter a digit,q to quit!");
	head = (P_Digit)calloc(1,sizeof(Digit));
	head->prev = NULL;
	head->next = NULL;
	cur = head;
	while((ch = getchar()) != 'q' && IsDigit(ch))
	{
		++(*bit);
		P_Digit new = NULL;
		new = (P_Digit)calloc(1,sizeof(Digit));
		new->val = ch - 48;
		new->next = NULL;
		cur->next = new;
		new->prev = cur;
		cur = new;
	}
	head->val = *bit;
	return head;
}
void destroy(P_Digit head)
{
	P_Digit cur = head;
	while(cur != NULL)
	{
		free(cur);
		cur = cur->next;
	}
}
void disp(const P_Digit head)
{
	P_Digit cur = head->next;
	printf("bits : %d integer : ",head->val);
	while(cur != NULL)
	{
		printf("%d",cur->val);
		cur = cur->next;
	}
	putchar('\n');
}
inline int IsDigit(const char ch)
{
	if(ch >= '0' && ch <= '9')
		return 1;
	else
		return 0;
}
int isGT(P_Digit min, P_Digit sub)//判断被减数是否大于减数,大于返回1,小于等于返回0
{
	
	P_Digit min_cur = min->next, sub_cur = sub->next;
	
	if(min->val > sub->val)
		return 1;
	else if(min->val < sub->val)
		return 0;
	else
	{
		while(min_cur != NULL)
		{
			if(min_cur->val > sub_cur->val)
				return 1;
			min_cur = min_cur->next;
			sub_cur = sub_cur->next;
		}
		return 0;
	}
}
P_Digit endDigit(const P_Digit head)//找到最后一位
{
	P_Digit cur = head;
	
	while(cur->next != NULL)
	{
		cur = cur->next;
	}
	return cur; 
}
void addZero(P_Digit min_head, P_Digit sub_head)//被减数高位补0
{
	int num = sub_head->val - min_head->val;
	P_Digit cur = min_head;
	while(num != 0)
	{
		P_Digit new = NULL;
		new = (P_Digit)calloc(1,sizeof(Digit));
		new->val = 0;
		cur->next->prev = new;
		new->next = cur->next;
		new->prev = cur;
		cur->next = new;
		--num;
	} 
}
void borrowDigit(P_Digit pd)//借位
{
	pd->val += 10;
	if(pd->prev->val == 0)  //如果前一位是0,继续向前借位,并且此位减一
	{
		
		borrowDigit(pd->prev);
		--(pd->prev->val);
	}
	else
		--(pd->prev->val);
}
P_Digit subtraction(P_Digit minuend, P_Digit subtractor)
{
	P_Digit result_head = NULL;
	result_head = (P_Digit)calloc(1,sizeof(Digit));
	result_head->prev = NULL;
	result_head->next = NULL;
	
	if(isGT(minuend, subtractor))//减数小于被减数,交换两数
	{
		P_Digit swap = subtractor;
		subtractor = minuend;
		minuend = swap;
	}	
	P_Digit min_cur = endDigit(minuend);//从低位开始减
	P_Digit sub_cur = endDigit(subtractor);
	addZero(minuend, subtractor);//位数不同则被减数高位补零
	
	while(sub_cur->prev != NULL)
	{
		P_Digit new = NULL;
		new = (P_Digit)calloc(1,sizeof(Digit));
		if(result_head->next == NULL)//在头结点之后插入,便于显示
		{
			new->next = NULL;
			result_head->next = new;
			new->prev = result_head;
		}
		else
		{
			result_head->next->prev = new;
			new->next = result_head->next;
			new->prev = result_head;
			result_head->next = new;
		}
		if(sub_cur->val < min_cur->val)
		{
			borrowDigit(sub_cur);
			new->val = sub_cur->val - min_cur->val;
		}
		else
		{
			new->val = sub_cur->val - min_cur->val;
		}
		min_cur = min_cur->prev;
		sub_cur = sub_cur->prev;
	}
	return result_head;
}


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