Number of cycles in cipher feedback mode (CFB)
In CFB-mode you effectively have a data-dependent stream cipher and you'll need $\lceil\frac{l}n\rceil$ block cipher calls or "cycles" as you call them to process the full message, where $l$ is the mesage length (in bits), $n$ the block size (in bits) and $\lceil\cdot\rceil$ is the ceiling function.
However, you get the encryption of the $i$-th plaintext block after the $i$-th "cycle" or block cipher call. This can be seen if you look at the formal definition of the CFB-mode which reads (in this case):
$$c_i=p_i\oplus E_K(c_{i-1}),\quad c_0=IV$$

where $c_i$ is the $i$-th ciphertext block, $p_i$ is the $i$-th plaintext block, $\oplus$ is bitwise XOR and IV is an initialization vector.