Java - 向上舍入,使位数递增 [英] Java - Round number up so number of digits increments
问题描述
将数字 n 舍入到比原始数字多一位的最接近的十的幂的最有效方法是什么(在 Java 中)?
What is the most efficient way (in Java) to round a number n up to the nearest power of ten which contains one more digit than the original number?
例如3 -> 10
432 -> 1,000
432 -> 1,000
241,345 -> 1,000,000
241,345 -> 1,000,000
有没有办法在单个 O(1) 行中得到它?
Is there a way to get it in a single O(1) line?
我能看到的一个简单方法是使用 for 循环并增加 10 的幂直到 n/(10 ^ i) <1,但那不是 O(1) 而是 O(log n) .(好吧,我猜它是 log n,因为它涉及到一个权力!)
A simple way I can see is to use a for loop and increment the power of ten until n / (10 ^ i) < 1, but then that isn't O(1) and is O(log n) instead. (well I'm taking a guess it's log n as it involves a power!)
推荐答案
如果您要查找字符串,可以使用 Math.log10
以找到数组中的正确索引:
If you're looking for a string, you can use Math.log10
to find the right index into an array:
// Do more of these in reality, of course...
private static final String[] MESSAGES = { "1", "10", "100", "1,000", "10,000" };
public static final String roundUpToPowerOf10(int x) {
return MESSAGES[(int) Math.ceil(Math.log10(x))];
}
如果你想让它返回具有正确值的整数,你可以使用 Math.pow
:
If you want it to return the integer with the right value, you can use use Math.pow
:
public static final int roundUpToPowerOf10(int x) {
return (int) Math.pow(10, Math.ceil(Math.log10(x)));
}
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