Fizzbuzz in Objective-C that works without if, modulo, lookup table

FizzBuzzWithoutIfAndModulo.m

#import <Foundation/Foundation.h>

NSMutableArray* fizzbuzzreplace(NSMutableArray* numberArray, NSUInteger divider, NSString* replacementString)
{
    for (NSUInteger i = divider; i < numberArray.count + 1; i = i + divider) {
        [numberArray replaceObjectAtIndex:i - 1 withObject:replacementString];
    }
    return numberArray;
}

int main(int argc, const char * argv[]) {
    @autoreleasepool {
        NSMutableArray* numbersTo100 = [NSMutableArray arrayWithCapacity:100];
        for (NSUInteger i = 1; i < 101; ++i) {
            [numbersTo100 addObject:[NSNumber numberWithUnsignedInteger:i]];
        }
        fizzbuzzreplace(fizzbuzzreplace(fizzbuzzreplace(numbersTo100, 3, @"Fizz"), 5, @"Buzz"), 15, @"FizzBuzz");
        NSLog(@"%@", [numbersTo100 description]);
    }
    return 0;
}