Android :: Java - Impossible To Parse 23/10/1973 With Dd/MM/yyyy HH:mm - Format

I'm trying to parse many string dates to Date(s), some with time part, others without, with the "dd/MM/yyyy HH:mm" format.

CODE:..............

(here, format is always "dd/MM/yyyy HH:mm").

But this causes an exception, even with setLenient forced at true. Do you know how I may convert to Date a lot of strings formatted like "dd/MM/yyyy HH:mm:ss", but with someones without time, some others without secondes, and still other one with everything ?