List PackageManager.getInstalledApplications() will give you a list of the installed applications, and ApplicationInfo.sourceDir is the path to the .apk file.
// in oncreate
PackageManager pm = getPackageManager();
for (ApplicationInfo app : pm.getInstalledApplications(0)) {
Log.d("PackageList", "package: " + app.packageName + ", sourceDir: " + app.sourceDir);
}
//output is something like
D/PackageList(5010): package: com.example.xmlparse, sourceDir: /data/app /com.example.xmlparse-2.apk
D/PackageList(5010): package: com.examples.android.calendar, sourceDir: /data/app/com.examples.android.calendar-2.apk
D/PackageList(5010): package: com.facebook.katana, sourceDir: /data/app/com.facebook.katana-1.apk
D/PackageList(5010): package: com.facebook.samples.profilepicture, sourceDir: /data/app/com.facebook.samples.profilepicture-1.apk
D/PackageList(5010): package: com.facebook.samples.sessionlogin, sourceDir: /data/app/com.facebook.samples.sessionlogin-1.apk
D/PackageList(5010): package: com.fitworld, sourceDir: /data/app/com.fitworld-2.apk
D/PackageList(5010): package: com.flipkart.android, sourceDir: /data/app/com.flipkart.android-1.apk
D/PackageList(5010): package: com.fmm.dm, sourceDir: /system/app/FmmDM.apk
D/PackageList(5010): package: com.fmm.ds, sourceDir: /system/app/FmmDS.apk