从1到n整数中1出现的次数
题目如题
如 5 中1出现的次数 为1
12中1出现的次数为5
public class NumberOf1Between1AndN { /* *输入一个整数n,求从1到n这N个十进制表示中1出现的次数 *以5位数说明: * *当百位上数字是0时:如:20099的1出现的次数为100-199,1100-1199,。。。,19100-19199共20*100次,即为高位数*100 *当百位上数字是1时:如:20134的1出现的次数为100-199,1100-1199,。。。,19100-19199共20*100次, * 和低位数字出现数字34+1次,即21100-21134,共20*100+(34+1) *当百位上数字大于1时:如20233的1出现的次数为100-199,1100-1199,。。。,19100-19199,20100-20199共21*100,即为(高位数+1)*100; *其它各位同理,不再详述 */ public long CountOne(long n) { long count = 0; long i = 1; long current = 0,low = 0,high = 0; while((n / i) != 0) { current = (n / i) % 10;//当前位是多少 high = n / (i * 10);//得到高位数 low = n - (n / i) * i;//低位数 if (current > 1) count = count + (high + 1) * i; else if (current == 0) count = count + high * i; else if(current == 1) count = count + high * i + low + 1; i = i * 10; } return count; } public static void main(String[] args){ long num = 12; long mm = System.currentTimeMillis(); System.out.println(new NumberOf1Between1AndN().CountOne(num)); System.out.println("m2 " + (System.currentTimeMillis() - mm)); } }