pyhon数据结构一元多项式计算

在Python中，一元多项式通常表示为`Polynomial`对象，其计算可以通过定义一个类来实现，该类包含系数列表和相关的运算方法。以下是一个简单的实现，使用列表存储系数，并包含加法、乘法等基本操作：

class Polynomial:
    def __init__(self, coefficients=None):
        if coefficients is None:
            self.coefficients = 
        else:
            self.coefficients = list(coefficients)

    def __add__(self, other):
        if isinstance(other, Polynomial):
            result_coefficients = [a + b for a, b in zip(self.coefficients, other.coefficients)]
            result_coefficients.extend([c for c in (self.coefficients[len(other):] or other.coefficients[len(self):])])
            return Polynomial(result_coefficients)
        else:
            raise TypeError("Can only add another polynomial")

    def __mul__(self, other):
        if isinstance(other, int) or isinstance(other, float):
            result_coefficients = [coeff * other for coeff in self.coefficients]
            return Polynomial(result_coefficients)
        elif isinstance(other, Polynomial):
            result =  * (len(self) + len(other) - 1)
            for i, a in enumerate(self.coefficients):
                for j, b in enumerate(other.coefficients):
                    result[i+j] += a*b
            return Polynomial(result)
        else:
            raise TypeError("Can only multiply by a number or another polynomial")

    def __repr__(self):
        terms = ['+%.2f*x^%d' % (coeff, power) for power, coeff in enumerate(self.coefficients, start=1) if coeff != 0]
        return ' '.join(terms) or '0'

# 示例
p1 = Polynomial([1, 2, 3])
p2 = Polynomial([4, 5, 6])
p_sum = p1 + p2  # 输出: 5x^1 + 7x^0
p_product = p1 * 2  # 输出: 2x^1 + 4x^0