You have a reasonable attempt at a start to the solution, with a few errors. You can't define an array without specifying a size, so int inputlist[] shouldn't even compile. Your scanf() specifier is %f for float, which is wrong twice (once because you declared inputlist with an integer type, and twice because you said your input is characters, so you should be telling scanf() to use %c or %s), and really if you're reading input unconditionally until EOF, you should use an unconditional input function, such as fgets() or fread(). (or read(), if you prefer).
You'll need two things: A place to store the current chunk of input, and a place to store the input that you've already read in. Since the input functions I mentioned above expect you to specify the input buffer, you can allocate that with a simple declaration.
char input[1024];
However, for the place to store all input, you'll want something dynamically allocated. The simplest solution is to simply malloc() a chunk of storage, keep track of how large it is, and realloc() it if and when necessary.
char *all_input;
int poolsize=16384;
all_input = malloc(pool_size);
Then, just loop on your input function until the return value indicates that you've hit EOF, and on each iteration of the loop, append the input data to the end of your storage area, increment a counter by the size of the input data, and check whether you're getting too close to the size of your input storage area. (And if you are, then use realloc() to grow your storage.)