How to make all cron jobs output to syslog?

I can configure individual cron jobs to output to syslog by making them explicitly pipe their output there, with e.g. | /usr/bin/logger -t MYJOB. Is there any way to make all cron jobs output to syslog by default?


I suggest to create a script /usr/sbin/sendmail that instead of sending mail, logs the contents of supposed mail message to syslog using for example logger command.