I disagree that it maps most directly to the problem statement. You're performing a common factor computation in your mind, which may be more difficult given numbers other than 3 and 5. In my opinion, pattern matching offers the most direct solution and comes with an abundance of compiler optimizations. Here's an example in Rust...

        for i in range(1i, 101) {  
            match (i % 3, i % 5) {  
                (0, 0) => println!("Fizzbuzz"),  
                (0, _) => println!("Fizz"),  
                (_, 0) => println!("Buzz"),  
                _ => println!("{}", i),  
            }  
        }