Roman numerals are represented by seven different symbols: I
, V
, X
, L
, C
, D
and M
.算法
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
.數據結構
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:app
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 a roman numeral, convert it to an integer. Input is guaranteed to be within the range from 1 to 3999.spa
Example 1:code
Input: "III" Output: 3
Example 2:blog
Input: "IV" Output: 4
Example 3:ip
Input: "IX" Output: 9
Example 4:ci
Input: "LVIII" Output: 58 Explanation: L = 50, V= 5, III = 3.
Example 5:get
Input: "MCMXCIV" Output: 1994 Explanation: M = 1000, CM = 900, XC = 90 and IV = 4.
class Solution { public int romanToInt(String s) { char[] ch = s.toCharArray(); int sum = 0; for (int i = 0; i < ch.length; i++) { switch (ch[i]) { case 'I': sum += 1; break; case 'V': sum += 5; if(i-1>=0&&ch[i-1]=='I') { sum=sum-2; } break; case 'X': sum += 10; if(i-1>=0&&ch[i-1]=='I') { sum=sum-2; } break; case 'L': sum += 50; if(i-1>=0&&ch[i-1]=='X') { sum=sum-20; } break; case 'C': sum += 100; if(i-1>=0&&ch[i-1]=='X') { sum=sum-20; } break; case 'D': sum += 500; if(i-1>=0&&ch[i-1]=='C') { sum=sum-200; } break; case 'M': sum += 1000; if(i-1>=0&&ch[i-1]=='C') { sum=sum-200; } break; default: break; } } return sum; } }
這種方法實在太簡單暴力了。。。還有兩種map數據結構的算法,後續補上。it