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Rational Arithmetic (20)

[编程题]Rational Arithmetic (20)

热度指数：3499 时间限制：C/C++ 1秒，其他语言2秒空间限制：C/C++ 32M，其他语言64M
算法知识视频讲解

For two rational numbers, your task is to implement the basic arithmetics, that is, to calculate their sum, difference,
product and quotient.

输入描述:

Each input file contains one test case, which gives in one line the two rational numbers in the format "a1/b1 a2/b2". 
The numerators and the denominators are all in the range of long int. If there is a negative sign, it must appear only in 
front of the numerator. The denominators are guaranteed to be non-zero numbers.

输出描述:

For each test case, print in 4 lines the sum, difference, product and quotient of the two rational numbers, respectively. The format of each 
line is "number1 operator number2 = result". Notice that all the rational numbers must be in their simplest form "k a/b", where k is 
the integer part, and a/b is the simplest fraction part. If the number is negative, it must be included in a pair of parentheses. If the 
denominator in the division is zero, output "Inf" as the result. It is guaranteed that all the output integers are in the range of long int.

示例1

输入

5/3 0/6

输出

1 2/3 + 0 = 1 2/3<br/>1 2/3 - 0 = 1 2/3<br/>1 2/3 * 0 = 0<br/>1 2/3 / 0 = Inf

算法知识视频讲解

Python

牛客268082329号

import fractions


def getStr(x: fractions.Fraction):
    ret = ''
    up = x.numerator
    down = x.denominator
    if up < 0:
        ret += '('
    if abs(up) < down&nbs***bsp;up % down == 0:
        ret += str(x)
    else:
        left = int(abs(up)//down*(abs(up)//up))
        up1 = abs(up) % down
        ret += '{} {}/{}'.format(left, up1, down)
    if up < 0:
        ret += ')'
    return ret


lst = input().split()
a, b = fractions.Fraction(lst[0]), fractions.Fraction(lst[1])
opera = ['+', '-', '*']
num = [a+b, a-b, a*b]
for i in range(3):
    res = getStr(a) + ' ' + opera[i] + ' ' + getStr(b) + ' ' + '=' + ' ' + getStr(num[i])
    print(str(res).strip())
res = getStr(a) + ' ' +  '/'  + ' ' + getStr(b) + ' ' + '=' + ' '
if abs(b.numerator) < 0.00001:
    res += "Inf"
else:
    res += getStr(a/b)
print(res)

发表于 2021-01-21 12:53:36 回复(0)