有两个指数递减的一元多项式,写一程序先求这两个多项式的和,再求它们的积。
【提示】 用带表头结点的单链表作为多项式的存储表示;要建立两个单链表;多项式相加就是要把一个单链表中的结点插入到另一个单链表中去,要注意插入、删除操作中指针的正确修改。
#include#includeusing namespace std;/**数据结构习题1多项式的相加和相乘@刘辉**/struct Node{ int data; int index; Node* next;};Node *insertList(Node* head,Node* p); //插入链表Node *createList(); //创建链表void printList(Node *head); //打印链表Node *addList(Node *p1,Node *p2); //实现加法运算Node *createList(){ int index,data; Node *p,*head,*q; head = new Node; p = head; cout<>index; cout<>data; while(index!=0) { q = new Node; q->index = index; q->data = data; p->next = q; p = q; cout<>index; cout<>data; } p->next = NULL; return head;}//多项式相加Node *addList(Node *p1,Node *p2){ int add; Node *temp,*head,*p3; p1 = p1->next; p2 = p2->next; head = temp = new Node; head->next = NULL; while(p1&&p2) { if(p1->index==p2->index) { add = p2->data + p1->data; if(add!=0) { p3 = new Node; p3->index = p2->index; p3->data = add; p3->next = NULL; } p1 = p1->next; p2 = p2->next; } else if(p1->indexindex) { p3 = new Node; p3->data = p2->data; p3->index = p2->index; p3->next = NULL; p2 = p2->next; } else { p3 = new Node; p3->data = p1->data; p3->index = p1->index; p3->next = NULL;<mark>来源gaodaimacom搞#^代%!码网</mark> p1 = p1->next; } if(head->next ==NULL) { head->next = p3; temp = p3; } else { temp->next = p3; temp = p3; } } temp->next = p1?p1:p2; return head; }//多项式相乘Node* mulList(Node *p1,Node *p2){ Node *head,*temp,*s,*r,*q; head = new Node; head->next = NULL; temp = new Node; temp->next = NULL; p1 = p1->next; p2 = p2->next; for(s=p1;s;s=s->next) { for(r=p2;r;r=r->next) { q = new Node; temp->next = q; q->data = s->data * r->data; q->index = s->index + r->index; q->next = NULL; head = addList(temp,head); } } return head;}//打印多项式 void printList(Node *head) { Node *p = NULL; p = head->next; if(p==NULL) { cout<data>=0) cout<data<<"x^"<index; else cout<data<<"x^"<index; if(p->next!=NULL) cout<next; }while(p != NULL); cout<<endl; } } //主函数int main(){ int i; Node *p1=NULL,*p2=NULL,*p3=NULL,*p4=NULL; cout<<"创建第一个多项式的链表:"<<"\n"; p1 = createList(); cout<<"\n"; cout<<"创建第二个多项式的链表:"<<"\n"; p2 = createList(); cout<<"第一个多项式为:"; printList(p1); cout<<"\n"<<"第二个多项式为:"; printList(p2); p3 = addList(p1,p2); //实现多项式相加 cout<<"\n"<<"多项式相加后为:"; printList(p3); cout<<endl; p4 = mulList(p1,p2); //实现多项式相乘 cout<>i; return 0;}