闰年计算 [英] Leap year calculation

问题描述

为了找到闰年，为什么年份必须不能被 100 整除，而且必须能被 400 整除?

In order to find leap years, why must the year be indivisible by 100 and divisible by 400?

我明白为什么它必须被 4 整除.请解释算法.

I understand why it must be divisible by 4. Please explain the algorithm.

推荐答案

一年的长度是(或多或少)365.242196 天.因此，我们必须或多或少地减去四分之一天以使其适合:

The length of a year is (more or less) 365.242196 days. So we have to subtract, more or less, a quarter of a day to make it fit :

365.242196 - 0.25 = 364.992196(4 年增加 1 天):但是哎呀，现在太小了！！让我们添加一百天(通过在一百年内不添加一天:-))

365.242196 - 0.25 = 364.992196 (by adding 1 day in 4 years) : but oops, now it's too small!! lets add a hundreth of a day (by not adding that day once in a hundred year :-))

364.992196 + 0,01 = 365.002196(哎呀，有点太大了，无论如何让我们在大约 400 年后添加一天)

364.992196 + 0,01 = 365.002196 (oops, a bit too big, let's add that day anyway one time in about 400 years)

365.002196 - 1/400 = 364.999696

365.002196 - 1/400 = 364.999696

现在差不多了，只需时不时地玩一下闰秒，就可以了.

Almost there now, just play with leapseconds now and then, and you're set.

(注意:在这一步之后不再应用更正的原因是因为一年的长度也在变化！！这就是为什么闰秒是最灵活的解决方案，例如参见 这里)

(Note : the reason no more corrections are applied after this step is because a year also CHANGES IN LENGTH!!, that's why leapseconds are the most flexible solution, see for examlple here)

这就是我猜的原因

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