写一段Dev c++代码,要求:1、实现链表的基本操作(初始化、插入、查找、销毁)。2、在主函数完成:(1)输入第一个多项式各项的系数和指数;(2)输入第二个多项式各项的系数和指数;(3)以上两个多项式求和;(4)屏幕输出求和结果(即打印结果多项式);(5)删除多项式。
时间: 2025-06-16 07:53:50 AIGC 浏览: 20
首先,你需要了解链表通常用于存储多项式的每一项,每个节点包含系数和指数。这是一个简单的例子,我们将使用单向链表实现这个功能:
```cpp
#include <iostream>
using namespace std;
// 定义链表节点结构
struct PolynomialTerm {
double coefficient;
int exponent;
PolynomialTerm* next; // 指向下一个节点
};
// 初始化链表头指针
PolynomialTerm* createList() {
return new PolynomialTerm{0, 0, nullptr};
}
// 插入新节点到链表
void insert(PolynomialTerm*& head, double coefficient, int exponent) {
PolynomialTerm* newNode = new PolynomialTerm{coefficient, exponent, nullptr};
if (head == nullptr) {
head = newNode;
} else {
PolynomialTerm* current = head;
while (current->next != nullptr && current->exponent > exponent) {
current = current->next;
}
newNode->next = current->next;
current->next = newNode;
}
}
// 查找链表中的特定项
bool search(PolynomialTerm* head, double targetCoefficient, int targetExponent) {
PolynomialTerm* current = head;
while (current != nullptr) {
if (current->coefficient == targetCoefficient && current->exponent == targetExponent) {
return true;
}
current = current->next;
}
return false;
}
// 输出多项式
void printPolynomial(PolynomialTerm* head) {
PolynomialTerm* current = head;
cout << "(";
while (current != nullptr) {
cout << current->coefficient << "x^" << current->exponent;
if (current->next != nullptr) {
cout << " + ";
}
current = current->next;
}
cout << ")";
}
// 删除链表中的特定项
void deleteTerm(PolynomialTerm*& head, double coefficient, int exponent) {
if (head == nullptr || search(head, coefficient, exponent)) { // 如果头节点或找到目标项
PolynomialTerm* temp = head;
head = head->next;
delete temp;
} else {
PolynomialTerm* current = head;
while (current->next != nullptr && current->next->exponent > exponent) {
current = current->next;
}
if (current->next != nullptr && current->next->coefficient == coefficient) {
current->next = current->next->next;
}
}
}
int main() {
PolynomialTerm* firstPoly = createList();
PolynomialTerm* secondPoly = createList();
// 输入并插入多项式
for (int i = 0; i < 2; ++i) {
double coef, exp;
cin >> coef >> exp;
insert(i % 2 ? firstPoly : secondPoly, coef, exp);
}
// 求和
PolynomialTerm* sumPoly = createList();
PolynomialTerm* p1 = firstPoly;
PolynomialTerm* p2 = secondPoly;
while (p1 != nullptr || p2 != nullptr) {
if (p1 != nullptr && (p2 == nullptr || p1->exponent < p2->exponent)) {
insert(sumPoly, p1->coefficient, p1->exponent);
p1 = p1->next;
} else {
insert(sumPoly, p2->coefficient, p2->exponent);
p2 = p2->next;
}
}
// 打印和
cout << "Sum of the polynomials:\n";
printPolynomial(sumPoly);
// 删除某个多项式
double coefToRemove, expToRemove;
cout << "\nEnter coefficient and exponent to delete from the sum: ";
cin >> coefToRemove >> expToRemove;
deleteTerm(sumPoly, coefToRemove, expToRemove);
// 打印删除后的结果
cout << "\nAfter deletion:\n";
printPolynomial(sumPoly);
// 销毁链表
destroyList(sumPoly);
return 0;
}
// 假设的销毁链表函数,实际项目中应考虑内存管理
void destroyList(PolynomialTerm* head) {
if (head != nullptr) {
destroyList(head->next);
delete head;
}
}
```
这段代码实现了链表的初始化、插入、查找、求和、删除以及输出多项式的功能。注意这只是一个简化版本,实际情况可能会需要处理更多边界条件和错误情况。
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