【C++实验】多项式加减

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题目：一元多项式运算

基本要求：

（1）输入并建立多项式;

（2）输出多项式;

（3）多项式加法

（4）多项式减法。

测试数据：

代码展示：

#include<iostream>
using namespace std;
class LinkedNode
{
public:LinkedNode(double COEF, double INDEX, LinkedNode *ptr = NULL){this->coef = COEF;this->index = INDEX;this->next = ptr;}double coef;double index;LinkedNode *next;
};class LinkedList
{
public:LinkedList(){this->head = NULL;this->tail = NULL;}void create_polumerization(); //创建多项式  并且进行排序和重复次方的合并 void add_polumerization(LinkedList *p, char a); //多项式的运算 void print_result(LinkedList *p);  //打印输出多项式 void sort_polumerization();  //多项式的	排序	 void delete_samenode();//相同次方进行合并 
private:LinkedNode *head;LinkedNode *tail;
};
void LinkedList::create_polumerization()
{double index, coef;cout << "开始输入多项式（默认系数 为0时结束）" << endl;for (int i = 0;;i++){printf("\n请输入第%d项的系数：", i + 1);cin >> coef;if (coef == 0) break;printf("\n请输入第%d项的指数：", i + 1);cin >> index;if (tail == NULL){tail = new LinkedNode(coef, index);head = tail;}else{LinkedNode *temp = new LinkedNode(coef, index);tail->next = temp;tail = temp;}}//进行排序sort_polumerization();delete_samenode();
};
void LinkedList::sort_polumerization()
{LinkedNode *pre=NULL, *p=NULL, *t = NULL;if (head != NULL){while (head->next != t){pre = head;p = head->next;while (p != t){if (pre->index > p->index){swap(pre->coef, p->coef);swap(pre->index, p->index);pre = p;p = p->next;}else{pre = p;p = p->next;}}t = pre;}}};
void LinkedList::delete_samenode()
{if (head == NULL) return;for (LinkedNode* temp = head;temp != NULL && temp->next != NULL;){if (temp->index == temp->next->index){LinkedNode *p = temp;temp = temp->next;while (p->index == temp->index){p->coef += temp->coef;p->next = temp->next;delete temp;temp = p->next;}}else temp = temp->next;}
}
void LinkedList::print_result(LinkedList *p)
{double count = 0;for (LinkedNode *temp = p->head->next;temp != NULL;temp = temp->next){if (temp == p->head->next){if (temp->coef == 0) continue;else{count += temp->coef;if(temp->index!=0) cout << temp->coef << "x^" << temp->index;else cout << temp->coef;}}else{if (temp->coef == 0) continue;else{if (temp->coef > 0){count += temp->coef;if(temp->index!=0) cout << "+" << temp->coef << "x^" << temp->index;else cout<<"+" << temp->coef;}else{count += temp->coef;if(temp->index!=0) cout << temp->coef << "x^" << temp->index;else cout << temp->coef;}}}}if (count == 0) cout << count;
}
void LinkedList::add_polumerization(LinkedList *p, char a)
{LinkedNode *h1 = this->head;LinkedNode *h2 = p->head;LinkedList *result = new LinkedList();LinkedNode *h = new LinkedNode(0, 0);result->head = h;result->tail = result->head;cout << endl;if (a == '+'){while (h1 != NULL && h2 != NULL) {if (h1->index < h2->index){LinkedNode *temp = new LinkedNode(h1->coef, h1->index);result->tail->next = temp;result->tail = temp;h1 = h1->next;}else if (h2->index < h1->index){LinkedNode *temp = new LinkedNode(h2->coef, h2->index);result->tail->next = temp;result->tail = temp;h2 = h2->next;}else {LinkedNode *temp = new LinkedNode(h1->coef + h2->coef, h1->index);result->tail->next = temp;result->tail = temp;h1 = h1->next;h2 = h2->next;}}while (h1 != NULL){LinkedNode *temp = new LinkedNode(h1->coef, h1->index);result->tail->next = temp;result->tail = temp;h1 = h1->next;}while (h2 != NULL){LinkedNode *temp = new LinkedNode(h2->coef, h2->index);result->tail->next = temp;result->tail = temp;h2 = h2->next;}}else{while (h1 != NULL && h2 != NULL){if (h1->index < h2->index){LinkedNode *temp = new LinkedNode(h1->coef, h1->index);result->tail->next = temp;result->tail = temp;h1 = h1->next;}else if (h2->index < h1->index){LinkedNode *temp = new LinkedNode(-h2->coef, h2->index);result->tail->next = temp;result->tail = temp;h2 = h2->next;}else {LinkedNode *temp = new LinkedNode(h1->coef - h2->coef, h1->index);result->tail->next = temp;result->tail = temp;h1 = h1->next;h2 = h2->next;}}while (h1 != NULL){LinkedNode *temp = new LinkedNode(h1->coef, h1->index);result->tail->next = temp;result->tail = temp;h1 = h1->next;}while (h2 != NULL){LinkedNode *temp = new LinkedNode(-h2->coef, h2->index);result->tail->next = temp;result->tail = temp;h2 = h2->next;}}print_result(result);
}
int main()
{char a;LinkedList l1;cout << "开始输入第一个多项式" << endl;l1.create_polumerization();cout << endl << "开始输入第二个多项式" << endl;LinkedList l2;l2.create_polumerization();cout << "请输入两个多项式之间的运算关系（'+'或'-'）:";cin >> a;l1.add_polumerization(&l2, a);
}

运行结果