Although I'm not a big fan of Cufflinks, it can do a bit more. It computes based on some coverage-assumptions the read distribution per gene locus and assigns FPKM-values to the genes' transcripts.
I would not recommend trying to recompute the read counts from the FPKM values, since Cufflinks does some length normalisations of the transcripts as well as assigning multi-mapping reads.
However, I also recommend using HTSeq-count for getting the read-count.