题目:-
已知集合A和B的元素分别用不含头结点的单链表存储,函数difference()用于求解集合A与B的差集,并将结果保存在集合A的单链表中。例如,若集合A={5,10,20,15,25,30},集合B={5,15,35,25},完成计算后A={10,20,30}。
思路:指针的指针pa遍历链表A,指针pb遍历链表B,当节点的值相等,删除,提前将删除位置的下一个节点保存,然后
继续遍历这两个链表直到全部遍历完后,剩下的节点连接起来就是这两个链表的差集
验证:
#include<iostream>
#include<assert.h>
using namespace std;
struct Node
{
int _data;
Node*next;
Node(int data)
:_data(data)
, next(NULL)
{}
};
void Different(Node**A, Node*B)
{
Node*pa = *A;//用来遍历A链表
//Node*pb = B;//用来遍历B链表
Node *prev = NULL;//用来保存删除后节点能连接起来
Node*del;//待删除的节点
while (pa)
{
Node*pb = B;
while (pb&&pa->_data != pb->_data)
pb = pb->next;//
if (pb)//两个节点的值相等
{
if (!prev)
{
*A = pa->next;//指向下一个节点
}
else//第一个节点相等
{
prev->next = pa->next;//指向相等节点的后一个
}
del = pa;//删除的节点
pa = pa->next;
delete del;
}
//此时链表B已经遍历完了
else
{
//更新节点的位置
prev = pa;
pa = pa->next;
}
}
}
void Printf(Node*root)
{
Node*cur = root;
while(cur)
{
cout << cur->_data << " ";
cur = cur->next;
}
cout << endl;
}
void Test()
{
Node*n1 = new Node(5);
Node*n2 = new Node(10);
Node*n3 = new Node(20);
Node*n4 = new Node(15);
Node*n5 = new Node(25);
Node*n6 = new Node(30);
n1->next = n2;
n2->next = n3;
n3->next = n4;
n4->next = n5;
n5->next = n6;
cout << "链表A" << endl;
Printf(n1);
Node*n11 = new Node(5);
Node*n22 = new Node(15);
Node*n33 = new Node(35);
Node*n44 = new Node(25);
n11->next = n22;
n22->next = n33;
n22->next = n33;
n33->next = n44;
cout << "链表B" << endl;
Printf(n11);
cout << "链表的差集" << endl;
Different(&n1, n11);
Printf(n1);
}
int main()
{
Test();
system("pause");
return 0;
}
求交集
同样的方法,我们可以求两个单链表的交集
思路:当链表A的值小于链表B的值,链表A相后移,如果链表A的值大于链表B的值,链表B的值向后移,否则同时移,当遍历完这个链表,交集就出来了.
验证
void UnionSet(Node*L1, Node*L2)
{
while(L1&&L2)
{
if (L1->_data < L2->_data)
{
L1 = L1->next;
}
else if (L1->_data>L2->_data)
{
L2 = L2->next;
}
else
{
L1 = L1->next;
L2 = L2->next;
}
}
}
void Printf(Node*root)
{
Node*cur = root;
while(cur)
{
cout << cur->_data << " ";
cur = cur->next;
}
cout << endl;
}
void Test()
{
Node*n1 = new Node(5);
Node*n2 = new Node(10);
Node*n3 = new Node(20);
Node*n4 = new Node(15);
Node*n5 = new Node(25);
Node*n6 = new Node(30);
n1->next = n2;
n2->next = n3;
n3->next = n4;
n4->next = n5;
n5->next = n6;
cout << "链表A" << endl;
Printf(n1);
Node*n11 = new Node(5);
Node*n22 = new Node(15);
Node*n33 = new Node(35);
Node*n44 = new Node(25);
n11->next = n22;
n22->next = n33;
n22->next = n33;
n33->next = n44;
cout << "链表B" << endl;
Printf(n11);
cout << "链表的交集" << endl;
UnionSet(n1, n11);
Printf(n1);
}
int main()
{
Test();
system("pause");
return 0;
}