malloc() and free()

#include <stdlib.h>

int * b;

int main(void)
{
    int * a = NULL;
    a = (int *) malloc(sizeof(int));
    b = &a;
    free(b);
    return 0;
}

Would this result in a memory leak? If yes, why?

Protip: What do you think free looks like?
It already takes a copy of the pointer in the argument passed it, so of course you can assign pointers back and forth between how many variables you want.