Write a FizzBuzz counter

Question

From the famous FizzBuzz challenge,

Write a program that prints the numbers from 1 to 100. But for multiples of three print "Fizz" instead of the number and for the multiples of five print "Buzz". For numbers which are multiples of both three and five print "FizzBuzz".

But here

In this challenge, you don't need to print anything, instead, your program should count on variables, the number of Fizz found, the number of Buzz, the number of FizzBuzz and the number of the rest (non multiples of 3 and 5).

And then, print the numbers found, like this:

From 1 to 100
Fizz: 30
Buzz: 17
Others: 53

FizzBuzz: 6 (this don't count, they were already incremented on Fizz and Buzz)

Hey, hold there...

What do you mean with this don't count, they were already incremented on ping and pong?
Yes, you should increment all multiple of 3 on the Fizz counter, all multiples of 5 on the Buzz counter, and also all multiples of 3 and 5 on the FizzBuzz counter.
It means that if you sum Fizz + Buzz + Others it will be equal to 100 already.
The FizzBuzz counter is just to know how many multiples of 3 and 5 we have.

Rules:

• This is a code-gold, in one week, the shortest wins.
• Any programming language will be accepted.

Answer 1

This is the most efficient method of calculating the number of fizzes and buzzes:

Integer fizz = 100 / 3;
Integer buzz = 100 / 5;
Integer other = 100 - fizz - buzz;
Integer fizzBuzz = 100 / (3 * 5);

Note that 3 and 5 could be substituted for any positive prime numbers, and 100 could be substituted for any positive number whatsoever.

Answer 2

Python 2 (101)

n=100
g=n/30
print"From 1 to %d\nFizz: %d\nBuzz: %d\nOthers: %d\nFizzBuzz: %d"%(n,n/3-g,n/5-g,8*n/15,g*2)

Answer 3

APL 94

('Fizz:' 'Buzz:' 'Others:' 'FizzBuzz:'),[1.1]n[1 2],(100-+/n[1 2]),(n←∊+/0=(⊂3 5 15)|¨⍳100)[3]

Answer 4

Ruby

131 characters

* I used step iterators for counters

d=f=b=0;15.step(100,15){d+=1};5.step(100,5){b+=1};3.step(100,3){f+=1};puts "Buzz:#{f}\nFizz:#{b}\nBuzzFizz:#{d}\nOthers:#{100-f-b}"

Answer 5

C

#include <stdio.h>
int main(){printf("Fizz: %d\nBuzz: %d\nOthers: %d\n",100/3,100/5,100-100/3-100/5);return 0;}