I suppose if you have one machine that can connect to all the databases, you can write a small script that does something like this.

Have a small control file (assuming you want all the passwords to be the same), which just contains

alter user sys identified by xxxx;
alter user system identified by xxxx;

then assuming you have a list of all the 114 sid's or connect strings, you can create a script which generates a list of commands

sqlplus sys/password@db1 @control.sql
sqlplus sys/password@db2 @control.sql

Then just run that script.