欧拉工程-问题33
原题链接 http://projecteuler.net/problem=33
Digit canceling fractions
The fraction 49/98 is a curious fraction, as an inexperienced mathematician in attempting to simplify it may incorrectly believe that49/98 = 4/8, which is correct, is obtained by cancelling the 9s.
We shall consider fractions like, 30/50 = 3/5, to be trivial examples.
There are exactly four non-trivial examples of this type of fraction, less than one in value, and containing two digits in the numerator and denominator.
If the product of these four fractions is given in its lowest common terms, find the value of the denominator.
数字约分
分数49/98是一个特殊的分数,对于一个不熟练的数学爱好者在尝试化简它时,可能会错误地消去9,认为49/98 = 4 / 8,最终的到的结果是正确的。
对于分数30/50 = 3/5,我们认为这是平凡的例子
正好存在4个这种不平凡的分数,它们的值小于1,分子和分母都是两位数。
如果将这四个分数的乘积化简为最简形式,得到的分母是什么?
解答:
这题没什么好说的。