Project Euler NO57
2的平方根可以被表示为无限延伸的分数： 2 = 1 + 1/(2 + 1/(2 + 1/(2 + ... ))) = 1.414213...将其前四次迭代展开，我们得到：1 + 1/2 = 3/2 = 1.51 + 1/(2 + 1/2) = 7/5 = 1.41 + 1/(2 + 1/(2 + 1/2)) = 17/12 = 1.41666...1 + 1/(
