Given a number N(>=3). The task is to find the three integers (<=N) such that LCM of these three integers is maximum.
Input: N = 3 Output: 1 2 3 Input: N = 5 Output: 3 4 5
Approach: Since the task is to maximize the LCM, so if all three numbers don’t have any common factor then the LCM will be the product of those three numbers and that will be maximum.
- If n is odd then the answer will be n, n-1, n-2.
- If n is even,
- If gcd of n and n-3 is 1 then answer will be n, n-1, n-3.
- Otherwise, n-1, n-2, n-3 will be required answer.
Below is the implementation of the above approach:
11 10 9
- Find a pair with maximum product in array of Integers
- Find four factors of N with maximum product and sum equal to N | Set 3
- Find four factors of N with maximum product and sum equal to N | Set-2
- Find four factors of N with maximum product and sum equal to N
- Check if the sum of distinct digits of two integers are equal
- Count number of integers less than or equal to N which has exactly 9 divisors
- Maximum GCD of N integers with given product
- Count positive integers with 0 as a digit and maximum 'd' digits
- Maximum elements that can be made equal with k updates
- Maximum length subarray with LCM equal to product
- Find N integers with given difference between product and sum
- Maximum count of equal numbers in an array after performing given operations
- Median in a stream of integers (running integers)
- Find Multiples of 2 or 3 or 5 less than or equal to N
- Find a Number X whose sum with its digits is equal to N
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