用python实现九章算术——课分术

china25qd

先来个简单的，小明式的代码：

def kf(firstfraction, secondfraction):
    
    '九章算术之课分术\n'
    '课分术曰：母互乘子，以少减多，馀为实，母相乘为法，实如法而一，即相多也。\n'
    if firstfraction == secondfraction:
        return "一样大，没有可比性！"
    else:
        talk = "%s 较大" % firstfraction if int(firstfraction.split('/')[0]) / int(firstfraction.split('/')[1]) > int(secondfraction.split('/')[0] / int(secondfraction.split('/')[1])else "%s 较大" % secondfraction
    if firstfraction.split('/')[1] == secondfraction.split('/')[1]:
        return talk + "，两者相差" + str(abs(firstfraction.split('/')[0] - secondfraction.split('/')[0])) + "/" + firstfraction.split('/')[1]
    else:
        Denominator = int(firstfraction.split('/')[1]) * int(secondfraction.split('/')[1])#母相乘
        molecule = abs((int(firstfraction.split('/')[0]) * int(secondfraction.split('/')[1])) - (int(secondfraction.split('/')[0]) * int(firstfraction.split('/')[1])))#母互乘子，以少减多
        
        return talk + "，两者相差" + str(int(molecule / gcd(Denominator, molecule))) + "/" + str(int(Denominator / gcd(Denominator, molecule)))#调用更相减损术约一下分
        

a = input("请输入第一个数：")
b = input("请输入第二个数：")
print("%s 和%s 两数%s " % (a, b, kf(a,b)))

更相减损术代码通道

运行结果：

请输入第一个数：22/40
请输入第二个数：33/50
22/40 和33/50 两数33/50 较大，两者相差11/100 

@小甲鱼 @福禄娃娃 @冬雪雪冬