Integer to Roman — LeetCode #12

Norman Aranez
3 min readDec 20, 2022

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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.

Example 1:

Input: num = 3
Output: "III"
Explanation: 3 is represented as 3 ones.

Example 2:

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

Example 3:

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

Constraints:

  • 1 <= num <= 3999

Solutions:

Python:

class Solution(object):
def intToRoman(self, num):
romans = [
("M", 1000),
("CM", 900),
("D", 500),
("CD", 400),
("C", 100),
("XC", 90),
("L", 50),
("XL", 40),
("X", 10),
("IX", 9),
("V", 5),
("IV", 4),
("I", 1)
]
roman = ""
for r, v in romans:
while num >= v:
roman += r
num -= v
return roman

C#:

public class Solution {
public string IntToRoman(int num) {
List<(string, int)> romans = new List<(string, int)>
{
("M", 1000),
("CM", 900),
("D", 500),
("CD", 400),
("C", 100),
("XC", 90),
("L", 50),
("XL", 40),
("X", 10),
("IX", 9),
("V", 5),
("IV", 4),
("I", 1)
};
string roman = "";
foreach ((string, int) r in romans)
{
while (num >= r.Item2)
{
roman += r.Item1;
num -= r.Item2;
}
}
return roman;
}
}

Java:

class Solution {
public String intToRoman(int num) {
List<String> romans = Arrays.asList("M", "CM", "D", "CD", "C", "XC", "L", "XL", "X", "IX", "V", "IV", "I");
List<Integer> values = Arrays.asList(1000, 900, 500, 400, 100, 90, 50, 40, 10, 9, 5, 4, 1);
StringBuilder sb = new StringBuilder();
for (int i = 0; i < romans.size(); i++) {
while (num >= values.get(i)) {
sb.append(romans.get(i));
num -= values.get(i);
}
}
return sb.toString();
}
}

Javascript:

/**
* @param {number} num
* @return {string}
*/
var intToRoman = function(num) {
const romans = [ ["M", 1000],
["CM", 900],
["D", 500],
["CD", 400],
["C", 100],
["XC", 90],
["L", 50],
["XL", 40],
["X", 10],
["IX", 9],
["V", 5],
["IV", 4],
["I", 1]
];
let roman = "";
for (const [r, v] of romans) {
while (num >= v) {
roman += r;
num -= v;
}
}
return roman;
};

Typescript:

function intToRoman(num: number): string {
const romans: any = [
["M", 1000],
["CM", 900],
["D", 500],
["CD", 400],
["C", 100],
["XC", 90],
["L", 50],
["XL", 40],
["X", 10],
["IX", 9],
["V", 5],
["IV", 4],
["I", 1]
];
let roman = "";
for (const [r, v] of romans) {
while (num >= v) {
roman += r;
num -= v;
}
}
return roman;
};

PHP:

class Solution {

/**
* @param Integer $num
* @return String
*/
function intToRoman($num) {
$romans = [
["M", 1000],
["CM", 900],
["D", 500],
["CD", 400],
["C", 100],
["XC", 90],
["L", 50],
["XL", 40],
["X", 10],
["IX", 9],
["V", 5],
["IV", 4],
["I", 1]
];
$roman = "";
foreach ($romans as $r) {
while ($num >= $r[1]) {
$roman .= $r[0];
$num -= $r[1];
}
}
return $roman;
}
}

I hope this helps! Let me know if you have any questions. Don’t forget to follow and give some claps and comments

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Norman Aranez

I am a web developer skilled in React, GraphQL, TypeScript, and ASP.NET Core. I enjoy building modern, responsive applications