Given two integers L and R, the task is to find the greatest divisor that divides all the natural numbers in the range [L, R].
Input: L = 3, R = 12
Input: L = 24, R = 24
Approach: For a range of consecutive integer elements, there are two cases:
- If L = R then the answer will L.
- If L < R then all consecutive natural numbers in this range are co-primes. So, 1 is the only number that will be able to divide all the elements of the range.
Below is the implementation of the above approach:
Time Complexity: O(1)
- Sum of greatest odd divisor of numbers in given range
- Find the k-th smallest divisor of a natural number N
- Find a distinct pair (x, y) in given range such that x divides y
- Sum of all odd natural numbers in range L and R
- Sum of all natural numbers in range L to R
- Sum of range in a series of first odd then even natural numbers
- Smallest prime divisor of a number
- Find two co-prime integers such that the first divides A and the second divides B
- Largest Divisor of a Number not divisible by a perfect square
- Greatest number less than equal to B that can be formed from the digits of A
- Highest power of a number that divides other number
- Largest number that divides x and is co-prime with y
- Minimum value that divides one number and divisible by other
- Check if the sum of digits of a number N divides it
- Check if a given number divides the sum of the factorials of its digits
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