python分数化简
时间: 2023-10-20 21:33:46 浏览: 66
要使用Python语言进行分数化简,可以使用fractions模块来处理分数的表示与运算。以下是一个实现将真分数分解为埃及分数的Python代码示例:
```python
#!/usr/bin/python3
# -*- coding: utf-8 -*-
from fractions import Fraction
def egyptian_fraction(numerator, denominator):
result = []
while numerator != 1:
fraction = Fraction(1, denominator // numerator + 1)
result.append(fraction)
numerator = fraction.numerator * numerator - fraction.denominator
denominator = fraction.denominator * denominator
result.append(Fraction(1, denominator))
return result
if __name__ == "__main__":
numerator = int(input("请输入分子:"))
denominator = int(input("请输入分母:"))
fraction = Fraction(numerator, denominator)
print("输入的分数为:", fraction)
result = egyptian_fraction(numerator, denominator)
print("埃及分数为:", result)
```
以上代码定义了一个名为`egyptian_fraction`的函数,该函数接受分子和分母作为参数,并返回分解后的埃及分数列表。在主程序中,用户可以输入一个分数,并通过调用`egyptian_fraction`函数来获取该分数的埃及分数表示。
请注意,以上代码仅是一个示例,实际应用中可能需要添加异常处理和输入验证等功能。
参考文献:
fractions - Python Documentation. Available at: https://docs.python.org/3/library/fractions.html
liuhefei. "将真分数分解为埃及分数". GitHub Gist. Available at: https://gist.github.com/liuhefei/ef4f301d7c08b9f38a9a1ba71d6ebe45<span class="em">1</span><span class="em">2</span><span class="em">3</span>
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