I don't know much about LiPo charging circuits, but that's because I decided they were too dangerous to mess around with and just bought my own charger. But I'll say a few things.
Unlike, NiCds and NiMH, Lithium-based cells (like Li-Ion and Lipo) are very sensitive. If you have a multi-cell pack, you have to monitor each cell individually to make sure the pack does not become unbalaned and that no cell gets overcharged or undercharged. Explosions and fires and things happen during charging or during operation if you do not. Commercial packs have a special charging connector in addition to the regular connector. This charging connector gives a connection to each individual cell for the purpose of monitoring and balancing out each cell. This means you'd have to use a different circuit designed for a multi-cell pack, or separate the cells and charge them separately with the MAX1555 and reconnect them together for operation.
I do not know how commercial chargers charge a a bunch of connected cells through the charging terminal (I'm not sure of the connections, but I doubt that the charger uses a bunch of floating circuits to individually charge each cell in a series packs).