给出上述题目的样例代码
时间: 2024-09-27 07:01:35 浏览: 23
为了提供一个完整的样例代码,我会用伪代码的形式展示一个基本的动态链表实现一元多项式相乘的例子。由于实际编程语言的选择和细节会有所不同,我假设我们有一个自定义的`PolynomialNode`结构用于存储多项式的系数和指数,以及一个函数`multiplyPolynomials`来执行相乘操作。以下是简化的代码结构:
```python
class PolynomialNode:
def __init__(self, coefficient=0, exponent=0):
self.coefficient = coefficient
self.exponent = exponent
self.next = None
def add_nodes(node1, node2):
if not node1 or not node2:
return node1 or node2
new_node = PolynomialNode()
if node1.exponent == node2.exponent:
new_node.coefficient = node1.coefficient + node2.coefficient
else:
new_node = node1 if node1.exponent < node2.exponent else node2
new_node.next = add_nodes(node1.next, node2.next)
return new_node
def multiplyPolynomials(polynomial_list):
if len(polynomial_list) < 2:
raise ValueError("At least two polynomials are required for multiplication")
result_head = None
for i in range(len(polynomial_list)):
current_poly = polynomial_list[i]
# 初始化新节点
product_node = PolynomialNode()
# 相乘过程
for j in range(i, len(polynomial_list)):
other_poly = polynomial_list[j]
# 计算乘积
product_coefficient = current_poly.coefficient * other_poly.coefficient
product_exponent = current_poly.exponent + other_poly.exponent
# 添加到结果链表
if result_head is None:
result_head = product_node
else:
last_node = result_head
while last_node.next and last_node.next.exponent == product_exponent:
last_node = last_node.next
if last_node.next:
last_node.next.coefficient += product_coefficient
else:
new_node = PolynomialNode(product_coefficient, product_exponent)
last_node.next = new_node
# 更新当前多项式的下一个节点
current_poly.next = product_node.next
return result_head
# 示例输入
polynomial_list = [(1, 0), (-1, 2), (2, 0), (2, 1), (1, 1)]
result = multiplyPolynomials(polynomial_list)
# 遍历结果并输出
output_items = []
current = result
while current:
output_items.append((len(output_items) + 1, current.coefficient, current.exponent))
current = current.next
for index, coefficient, exponent in output_items:
print(f"{index}, ({coefficient}, {exponent})")
# 异常处理部分省略
```
这是一个简化版的示例,实际代码可能需要更复杂的错误处理和优化。如果你需要在特定编程语言中看到完整版本,如Python或C++,请告诉我。