13. Roman to Integer
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, 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 beforeV
(5) andX
(10) to make 4 and 9.X
can be placed beforeL
(50) andC
(100) to make 40 and 90.C
can be placed beforeD
(500) andM
(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.
Example 1:
Input: "III" Output: 3
Example 2:
Input: "IV" Output: 4
Example 3:
Input: "IX" Output: 9
Example 4:
Input: "LVIII" Output: 58 Explanation: L = 50, V= 5, III = 3.
Example 5:
Input: "MCMXCIV" Output: 1994 Explanation: M = 1000, CM = 900, XC = 90 and IV = 4.
题意:将罗马数字转化成阿拉伯数字
代码如下(js):
var romanToInt = function(s) { var num=[]; var len=s.length; var sum=0; //将字符全部转换 for(var i=0;i<len;i++){ switch(s.charAt(i)){ case "M": num[i]=1000; break; case "D": num[i]=500; break; case "C": num[i]=100; break; case "L": num[i]=50; break; case "X": num[i]=10; break; case "V": num[i]=5; break; case "I": num[i]=1; break; } } // console.log(num) //相加 for(var i=0;i<len;i++){ if(num[i]<num[i+1]){ sum-=num[i]; }else{ sum+=num[i]; } // console.log(1,sum) } return sum };