数据结构写一个算法实现复数的四则运算

复数的四则运算通常涉及到两个复数的操作：加法、减法、乘法和除法。我们可以将复数表示为(a, b)的形式，其中a是实部，b是虚部。下面是一个简单的Python算法实现：

class ComplexNumber:
    def __init__(self, real=0, imag=0):
        self.real = real
        self.imag = imag

    # 加法
    def add(self, other):
        return ComplexNumber(self.real + other.real, self.imag + other.imag)

    # 减法
    def subtract(self, other):
        return ComplexNumber(self.real - other.real, self.imag - other.imag)

    # 乘法
    def multiply(self, other):
        real_part = self.real * other.real - self.imag * other.imag
        imag_part = self.real * other.imag + self.imag * other.real
        return ComplexNumber(real_part, imag_part)

    # 除法，假设除数不为零
    def divide(self, other):
        divisor_mag = other.real**2 + other.imag**2
        if divisor_mag != 0:
            real_divisor = other.real / divisor_mag
            imag_divisor = other.imag / divisor_mag
            return ComplexNumber((self.real * real_divisor - self.imag * imag_divisor), (self.imag * real_divisor + self.real * imag_divisor))
        else:
            raise ValueError("Cannot divide by zero")

# 示例使用
c1 = ComplexNumber(2, 3)
c2 = ComplexNumber(4, 5)

add_result = c1.add(c2)
subtract_result = c1.subtract(c2)
multiply_result = c1.multiply(c2)
try:
    divide_result = c1.divide(c2)
except ValueError as e:
    print(e)