12. Integer to Roman

本文详细介绍如何将整数转换为罗马数字,包括基本符号及其数值、特殊组合规则,并提供了一个Java实现示例,帮助读者理解并掌握罗马数字的书写原则。

Roman numerals are represented by seven different symbols: IVXLCD and M.

Symbol       Value
I             1
V             5
X             10
L             50
C             100
D             500
M             1000

For example, two is written as II in Roman numeral, just two one's added together. Twelve is written as, XII, which is simply X + II. The number twenty seven is written as XXVII, which is XX + V + II.

Roman numerals are usually written largest to smallest from left to right. However, the numeral for four is not IIII. Instead, the number four is written as IV. Because the one is before the five we subtract it making four. The same principle applies to the number nine, which is written as IX. There are six instances where subtraction is used:

  • I can be placed before V (5) and X (10) to make 4 and 9. 
  • X can be placed before L (50) and C (100) to make 40 and 90. 
  • C can be placed before D (500) and M (1000) to make 400 and 900.

Given an integer, convert it to a roman numeral. Input is guaranteed to be within the range from 1 to 3999.

Example 1:

Input: 3
Output: "III"

Example 2:

Input: 4
Output: "IV"

Example 3:

Input: 9
Output: "IX"

Example 4:

Input: 58
Output: "LVIII"
Explanation: L = 50, V = 5, III = 3.

Example 5:

Input: 1994
Output: "MCMXCIV"
Explanation: M = 1000, CM = 900, XC = 90 and IV = 4.

把数字分为个十百千,每个单位有对应的数字,对号入座。

    class Solution {
        public String intToRoman(int num) {
            String M[] = {"", "M", "MM", "MMM"};
            String C[] = {"", "C", "CC", "CCC", "CD", "D", "DC", "DCC", "DCCC", "CM"};
            String X[] = {"", "X", "XX", "XXX", "XL", "L", "LX", "LXX", "LXXX", "XC"};
            String I[] = {"", "I", "II", "III", "IV", "V", "VI", "VII", "VIII", "IX"};
            StringBuilder sb = new StringBuilder();
            return M[num/1000] + C[(num%1000)/100] + X[(num%100)/10] + I[num%10];
        }
    }

 

原文 https://blog.youkuaiyun.com/u010665216/article/details/77879128 

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