- ✕この概要は、複数のオンライン ソースに基づいて AI を使用して生成されました。元のソース情報を表示するには、[詳細情報] リンクを使用します。
Developing algorithms for mathematical problems involves breaking down the problem into logical steps and implementing efficient solutions. Below are examples of common mathematical problems and their algorithmic solutions.
Example 1: Finding the GCD of Two Numbers
The Greatest Common Divisor (GCD) of two numbers can be efficiently calculated using the Euclidean Algorithm.
def gcd(a, b):while b != 0:a, b = b, a % breturn a# Example usageprint(gcd(48, 18)) # Output: 6コピーしました。✕コピーThis algorithm repeatedly replaces the larger number with its remainder when divided by the smaller number until the remainder is zero. The time complexity is O(log(min(a, b))).
Example 2: Checking if a Number is Prime
To determine if a number is prime, iterate up to its square root and check divisibility.
import mathdef is_prime(n):if n <= 1:return Falsefor i in range(2, int(math.sqrt(n)) + 1):if n % i == 0:return Falsereturn True# Example usageprint(is_prime(29)) # Output: Trueコピーしました。✕コピー Mathematical Algorithms - GeeksforGeeks
2025年7月23日 · The following is the list of mathematical coding problem ordered topic wise. Please refer Mathematical Algorithms (Difficulty Wise) for the difficulty wise list of problems.
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