LeetCode 12 Integer to Roman (Python)

Posted by 小明MaxMing on March 11, 2021

题目

Roman numerals are represented by seven different symbols: I, V, X, L, C, D and M.

Symbol Value I 1 V 5 X 10 L 50 C 100 D 500 M 1000 For example, 2 is written as II in Roman numeral, just two one’s added together. 12 is written as XII, which is simply X + II. The number 27 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.

解题思路

从大到小一次相加,1000-M, 900-CM, 500-D, 400-CD …

代码

class Solution:
    def intToRoman(self, num: int) -> str:
        res = ""
        while num >= 1000:
            res += "M"
            num -= 1000
        while num >= 900:
            res += "CM"
            num -= 900
        while num >= 500:
            res += "D"
            num -= 500
        while num >= 400:
            res += "CD"
            num -= 400
        while num >= 100:
            res += "C"
            num -= 100
        while num >= 90:
            res += "XC"
            num -= 90
        while num >= 50:
            res += "L"
            num -= 50
        while num >= 40:
            res += "XL"
            num -= 40
        while num >= 10:
            res += "X"
            num -= 10
        while num >= 9:
            res += "IX"
            num -= 9
        while num >= 5:
            res += "V"
            num -= 5
        while num >= 4:
            res += "IV"
            num -= 4
        while num >= 1:
            res += "I"
            num -= 1
        return res

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